Data.Array.Repa.Algorithms.ColorRamp:rampColorHotToCold from repa-algorithms-3.4.0.1, A

Time bar (total: 6.7s)

analyze41.0ms (0.6%)

Memory
-12.9MiB live, 74.4MiB allocated
Algorithm
1×search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.9%0.1%0%0%0%0
0%0%99.9%0.1%0%0%0%1
0%0%99.9%0.1%0%0%0%2
50%49.9%49.9%0.1%0%0%0%3
50%49.9%49.9%0.1%0%0%0%4
50%49.9%49.9%0.1%0%0%0%5
75%74.9%25%0.1%0%0%0%6
75%74.9%25%0.1%0%0%0%7
75%74.9%25%0.1%0%0%0%8
87.5%87.4%12.5%0.1%0%0%0%9
87.5%87.4%12.5%0.1%0%0%0%10
87.5%87.4%12.5%0.1%0%0%0%11
93.8%93.6%6.2%0.1%0%0%0%12
Compiler

Compiled 15 to 14 computations (6.7% saved)

sample1.2s (17.5%)

Memory
51.1MiB live, 1 203.5MiB allocated
Samples
734.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 526.0ms
ival-div: 201.0ms (38.2% of total)
ival-mult: 159.0ms (30.2% of total)
ival-add: 106.0ms (20.2% of total)
ival-sub: 39.0ms (7.4% of total)
exact: 10.0ms (1.9% of total)
ival-true: 7.0ms (1.3% of total)
ival-assert: 3.0ms (0.6% of total)
Bogosity

preprocess404.0ms (6.1%)

Memory
-27.4MiB live, 288.6MiB allocated
Algorithm
2×egg-herbie
Rules
4 256×accelerator-lowering-fma.f32
4 256×accelerator-lowering-fma.f64
1 398×div-sub
1 352×div-sub
1 344×*-lowering-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
050143
1134130
2397130
31129130
43308114
57511114
01213
12413
25213
310213
420413
54629
69349
717669
828819
946089
1053459
1159419
1259489
1359509
1459509
1561689
1662779
1762779
1862779
1962779
2063099
2164359
064358
Stop Event
1×iter limit
1×saturated
1×node limit
Calls
Call 1
Inputs
(+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y))
Outputs
(+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y))
(fma.f64 #s(literal 4 binary64) (/.f64 (-.f64 x z) y) #s(literal 4 binary64))
Call 2
Inputs
(+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y))
(+ 1 (/ (* 4 (- (+ (neg x) (* y 3/4)) z)) y))
(+ 1 (/ (* 4 (- (+ x (* (neg y) 3/4)) z)) (neg y)))
(+ 1 (/ (* 4 (- (+ x (* y 3/4)) (neg z))) y))
(neg (+ 1 (/ (* 4 (- (+ (neg x) (* y 3/4)) z)) y)))
(neg (+ 1 (/ (* 4 (- (+ x (* (neg y) 3/4)) z)) (neg y))))
(neg (+ 1 (/ (* 4 (- (+ x (* y 3/4)) (neg z))) y)))
(+ 1 (/ (* 4 (- (+ y (* x 3/4)) z)) x))
(+ 1 (/ (* 4 (- (+ z (* y 3/4)) x)) y))
(+ 1 (/ (* 4 (- (+ x (* z 3/4)) y)) z))
Outputs
(+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y))
(+ 1 (* 4 (- 3/4 (/ (- z x) y))))
(+ 1 (/ (* 4 (- (+ (neg x) (* y 3/4)) z)) y))
(+ 1 (* 4 (- 3/4 (/ (+ x z) y))))
(+ 1 (/ (* 4 (- (+ x (* (neg y) 3/4)) z)) (neg y)))
(+ 1 (* 4 (+ 3/4 (/ (- z x) y))))
(+ 1 (/ (* 4 (- (+ x (* y 3/4)) (neg z))) y))
(- 1 (* 4 (- -3/4 (/ (+ x z) y))))
(neg (+ 1 (/ (* 4 (- (+ (neg x) (* y 3/4)) z)) y)))
(+ -1 (* 4 (+ -3/4 (/ (+ x z) y))))
(neg (+ 1 (/ (* 4 (- (+ x (* (neg y) 3/4)) z)) (neg y))))
(+ -1 (* 4 (+ -3/4 (/ (- x z) y))))
(neg (+ 1 (/ (* 4 (- (+ x (* y 3/4)) (neg z))) y)))
(+ -1 (* 4 (- -3/4 (/ (+ x z) y))))
(+ 1 (/ (* 4 (- (+ y (* x 3/4)) z)) x))
(- 1 (* (- (- z (* x 3/4)) y) (/ 4 x)))
(+ 1 (/ (* 4 (- (+ z (* y 3/4)) x)) y))
(+ 1 (* 4 (+ 3/4 (/ (- z x) y))))
(+ 1 (/ (* 4 (- (+ x (* z 3/4)) y)) z))
(+ 1 (* (+ x (- (* z 3/4) y)) (/ 4 z)))

explain158.0ms (2.4%)

Memory
6.7MiB live, 322.4MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
20-0-(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 3/4 binary64))) z)) y)
00-0-(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 3/4 binary64))) z)) y))
00-0-(*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 3/4 binary64))) z))
00-0-#s(literal 1 binary64)
00-0-z
00-0-(*.f64 y #s(literal 3/4 binary64))
00-0-#s(literal 4 binary64)
00-0-#s(literal 3/4 binary64)
00-0-y
00-0-(+.f64 x (*.f64 y #s(literal 3/4 binary64)))
00-0-(-.f64 (+.f64 x (*.f64 y #s(literal 3/4 binary64))) z)
00-0-x
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
/.f64(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 3/4 binary64))) z)) y)o/n20
↳(*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 3/4 binary64))) z))overflow2
Confusion
Predicted +Predicted -
+20
-0254
Precision
1.0
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+200
-00254
Precision?
1.0
Recall?
1.0
Freqs
test
numberfreq
0254
12
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
56.0ms460×0valid
5.0ms20×3valid
3.0ms22×1valid
2.0ms10×2valid
Compiler

Compiled 144 to 52 computations (63.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 46.0ms
ival-mult: 30.0ms (65% of total)
ival-add: 6.0ms (13% of total)
ival-div: 4.0ms (8.7% of total)
ival-sub: 3.0ms (6.5% of total)
adjust: 1.0ms (2.2% of total)
exact: 1.0ms (2.2% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

eval2.0ms (0%)

Memory
-38.0MiB live, 0.3MiB allocated
Compiler

Compiled 3 to 3 computations (0% saved)

prune1.0ms (0%)

Memory
2.1MiB live, 2.1MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶99.2%
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 3/4 binary64))) z)) y))
Compiler

Compiled 16 to 12 computations (25% saved)

simplify329.0ms (4.9%)

Memory
-2.5MiB live, 241.4MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(-.f64 (+.f64 x (*.f64 y #s(literal 3/4 binary64))) z)
✓cost-diff192
(+.f64 x (*.f64 y #s(literal 3/4 binary64)))
✓cost-diff192
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 3/4 binary64))) z)) y))
✓cost-diff384
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 3/4 binary64))) z)) y)
Rules
4 256×accelerator-lowering-fma.f32
4 256×accelerator-lowering-fma.f64
1 352×div-sub
1 344×*-lowering-*.f32
1 344×*-lowering-*.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01254
12454
25254
310254
420454
546248
693448
7176648
8288148
9460848
10534548
11594148
12594848
13595048
14595048
15616848
16627748
17627748
18627748
19627748
20630948
21643548
0643543
Stop Event
1×iter limit
1×saturated
Calls
Call 1
Inputs
(+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y))
1
(/ (* 4 (- (+ x (* y 3/4)) z)) y)
(* 4 (- (+ x (* y 3/4)) z))
4
(- (+ x (* y 3/4)) z)
(+ x (* y 3/4))
x
(* y 3/4)
y
3/4
z
Outputs
(+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y))
(fma.f64 #s(literal 4 binary64) (/.f64 (-.f64 x z) y) #s(literal 4 binary64))
1
#s(literal 1 binary64)
(/ (* 4 (- (+ x (* y 3/4)) z)) y)
(fma.f64 (-.f64 x z) (/.f64 #s(literal 4 binary64) y) #s(literal 3 binary64))
(* 4 (- (+ x (* y 3/4)) z))
(fma.f64 #s(literal 4 binary64) (-.f64 (fma.f64 y #s(literal 3/4 binary64) x) z) #s(literal 0 binary64))
4
#s(literal 4 binary64)
(- (+ x (* y 3/4)) z)
(-.f64 (fma.f64 y #s(literal 3/4 binary64) x) z)
(+ x (* y 3/4))
(fma.f64 y #s(literal 3/4 binary64) x)
x
(* y 3/4)
(fma.f64 y #s(literal 3/4 binary64) #s(literal 0 binary64))
y
3/4
#s(literal 3/4 binary64)
z

localize39.0ms (0.6%)

Memory
5.8MiB live, 78.6MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 3/4 binary64))) z)) y))
✓accuracy100.0%
(-.f64 (+.f64 x (*.f64 y #s(literal 3/4 binary64))) z)
✓accuracy99.9%
(+.f64 x (*.f64 y #s(literal 3/4 binary64)))
✓accuracy99.2%
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 3/4 binary64))) z)) y)
Samples
18.0ms230×0valid
3.0ms10×3valid
2.0ms11×1valid
1.0ms5×2valid
Compiler

Compiled 56 to 14 computations (75% saved)

Precisions
Click to see histograms. Total time spent on operations: 14.0ms
ival-div: 4.0ms (28.8% of total)
ival-mult: 4.0ms (28.8% of total)
ival-add: 3.0ms (21.6% of total)
adjust: 1.0ms (7.2% of total)
ival-sub: 1.0ms (7.2% of total)
ival-assert: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series9.0ms (0.1%)

Memory
21.5MiB live, 21.5MiB allocated
Counts
4 → 132
Calls
Call 1
Inputs
#<alt (/ (* 4 (- (+ x (* y 3/4)) z)) y)>
#<alt (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y))>
#<alt (+ x (* y 3/4))>
#<alt (- (+ x (* y 3/4)) z)>
Outputs
#<alt (* 4 (/ (- (* 3/4 y) z) y))>
#<alt (+ (* 4 (/ x y)) (* 4 (/ (- (* 3/4 y) z) y)))>
#<alt (+ (* 4 (/ x y)) (* 4 (/ (- (* 3/4 y) z) y)))>
#<alt (+ (* 4 (/ x y)) (* 4 (/ (- (* 3/4 y) z) y)))>
#<alt (* 4 (/ x y))>
#<alt (* x (+ (* 4 (/ (- 3/4 (/ z y)) x)) (* 4 (/ 1 y))))>
#<alt (* x (+ (* 4 (/ (- 3/4 (/ z y)) x)) (* 4 (/ 1 y))))>
#<alt (* x (+ (* 4 (/ (- 3/4 (/ z y)) x)) (* 4 (/ 1 y))))>
#<alt (* 4 (/ x y))>
#<alt (* -1 (* x (- (* -4 (/ (- 3/4 (/ z y)) x)) (* 4 (/ 1 y)))))>
#<alt (* -1 (* x (- (* -4 (/ (- 3/4 (/ z y)) x)) (* 4 (/ 1 y)))))>
#<alt (* -1 (* x (- (* -4 (/ (- 3/4 (/ z y)) x)) (* 4 (/ 1 y)))))>
#<alt (* 4 (/ (- x z) y))>
#<alt (/ (+ (* 3 y) (* 4 (- x z))) y)>
#<alt (/ (+ (* 3 y) (* 4 (- x z))) y)>
#<alt (/ (+ (* 3 y) (* 4 (- x z))) y)>
#<alt 3>
#<alt (+ 3 (* 4 (/ (- x z) y)))>
#<alt (+ 3 (* 4 (/ (- x z) y)))>
#<alt (+ 3 (* 4 (/ (- x z) y)))>
#<alt 3>
#<alt (+ 3 (* 4 (/ (- x z) y)))>
#<alt (+ 3 (* 4 (/ (- x z) y)))>
#<alt (+ 3 (* 4 (/ (- x z) y)))>
#<alt (* 4 (/ (+ x (* 3/4 y)) y))>
#<alt (+ (* -4 (/ z y)) (* 4 (/ (+ x (* 3/4 y)) y)))>
#<alt (+ (* -4 (/ z y)) (* 4 (/ (+ x (* 3/4 y)) y)))>
#<alt (+ (* -4 (/ z y)) (* 4 (/ (+ x (* 3/4 y)) y)))>
#<alt (* -4 (/ z y))>
#<alt (* z (- (* 4 (/ (+ 3/4 (/ x y)) z)) (* 4 (/ 1 y))))>
#<alt (* z (- (* 4 (/ (+ 3/4 (/ x y)) z)) (* 4 (/ 1 y))))>
#<alt (* z (- (* 4 (/ (+ 3/4 (/ x y)) z)) (* 4 (/ 1 y))))>
#<alt (* -4 (/ z y))>
#<alt (* -1 (* z (+ (* -4 (/ (+ 3/4 (/ x y)) z)) (* 4 (/ 1 y)))))>
#<alt (* -1 (* z (+ (* -4 (/ (+ 3/4 (/ x y)) z)) (* 4 (/ 1 y)))))>
#<alt (* -1 (* z (+ (* -4 (/ (+ 3/4 (/ x y)) z)) (* 4 (/ 1 y)))))>
#<alt (+ 1 (* 4 (/ (- (* 3/4 y) z) y)))>
#<alt (+ 1 (+ (* 4 (/ x y)) (* 4 (/ (- (* 3/4 y) z) y))))>
#<alt (+ 1 (+ (* 4 (/ x y)) (* 4 (/ (- (* 3/4 y) z) y))))>
#<alt (+ 1 (+ (* 4 (/ x y)) (* 4 (/ (- (* 3/4 y) z) y))))>
#<alt (* 4 (/ x y))>
#<alt (* x (+ (* 4 (/ (- 3/4 (/ z y)) x)) (+ (/ 1 x) (* 4 (/ 1 y)))))>
#<alt (* x (+ (* 4 (/ (- 3/4 (/ z y)) x)) (+ (/ 1 x) (* 4 (/ 1 y)))))>
#<alt (* x (+ (* 4 (/ (- 3/4 (/ z y)) x)) (+ (/ 1 x) (* 4 (/ 1 y)))))>
#<alt (* 4 (/ x y))>
#<alt (* -1 (* x (- (* -1 (/ (+ 1 (* 4 (- 3/4 (/ z y)))) x)) (* 4 (/ 1 y)))))>
#<alt (* -1 (* x (- (* -1 (/ (+ 1 (* 4 (- 3/4 (/ z y)))) x)) (* 4 (/ 1 y)))))>
#<alt (* -1 (* x (- (* -1 (/ (+ 1 (* 4 (- 3/4 (/ z y)))) x)) (* 4 (/ 1 y)))))>
#<alt (* 4 (/ (- x z) y))>
#<alt (/ (+ (* 4 y) (* 4 (- x z))) y)>
#<alt (/ (+ (* 4 y) (* 4 (- x z))) y)>
#<alt (/ (+ (* 4 y) (* 4 (- x z))) y)>
#<alt 4>
#<alt (+ 4 (* 4 (/ (- x z) y)))>
#<alt (+ 4 (* 4 (/ (- x z) y)))>
#<alt (+ 4 (* 4 (/ (- x z) y)))>
#<alt 4>
#<alt (+ 4 (* 4 (/ (- x z) y)))>
#<alt (+ 4 (* 4 (/ (- x z) y)))>
#<alt (+ 4 (* 4 (/ (- x z) y)))>
#<alt (+ 1 (* 4 (/ (+ x (* 3/4 y)) y)))>
#<alt (+ 1 (+ (* -4 (/ z y)) (* 4 (/ (+ x (* 3/4 y)) y))))>
#<alt (+ 1 (+ (* -4 (/ z y)) (* 4 (/ (+ x (* 3/4 y)) y))))>
#<alt (+ 1 (+ (* -4 (/ z y)) (* 4 (/ (+ x (* 3/4 y)) y))))>
#<alt (* -4 (/ z y))>
#<alt (* z (- (+ (* 4 (/ (+ 3/4 (/ x y)) z)) (/ 1 z)) (* 4 (/ 1 y))))>
#<alt (* z (- (+ (* 4 (/ (+ 3/4 (/ x y)) z)) (/ 1 z)) (* 4 (/ 1 y))))>
#<alt (* z (- (+ (* 4 (/ (+ 3/4 (/ x y)) z)) (/ 1 z)) (* 4 (/ 1 y))))>
#<alt (* -4 (/ z y))>
#<alt (* -1 (* z (+ (* -1 (/ (+ 1 (* 4 (+ 3/4 (/ x y)))) z)) (* 4 (/ 1 y)))))>
#<alt (* -1 (* z (+ (* -1 (/ (+ 1 (* 4 (+ 3/4 (/ x y)))) z)) (* 4 (/ 1 y)))))>
#<alt (* -1 (* z (+ (* -1 (/ (+ 1 (* 4 (+ 3/4 (/ x y)))) z)) (* 4 (/ 1 y)))))>
#<alt (* 3/4 y)>
#<alt (+ x (* 3/4 y))>
#<alt (+ x (* 3/4 y))>
#<alt (+ x (* 3/4 y))>
#<alt x>
#<alt (* x (+ 1 (* 3/4 (/ y x))))>
#<alt (* x (+ 1 (* 3/4 (/ y x))))>
#<alt (* x (+ 1 (* 3/4 (/ y x))))>
#<alt x>
#<alt (* -1 (* x (- (* -3/4 (/ y x)) 1)))>
#<alt (* -1 (* x (- (* -3/4 (/ y x)) 1)))>
#<alt (* -1 (* x (- (* -3/4 (/ y x)) 1)))>
#<alt x>
#<alt (+ x (* 3/4 y))>
#<alt (+ x (* 3/4 y))>
#<alt (+ x (* 3/4 y))>
#<alt (* 3/4 y)>
#<alt (* y (+ 3/4 (/ x y)))>
#<alt (* y (+ 3/4 (/ x y)))>
#<alt (* y (+ 3/4 (/ x y)))>
#<alt (* 3/4 y)>
#<alt (* -1 (* y (- (* -1 (/ x y)) 3/4)))>
#<alt (* -1 (* y (- (* -1 (/ x y)) 3/4)))>
#<alt (* -1 (* y (- (* -1 (/ x y)) 3/4)))>
#<alt (- (* 3/4 y) z)>
#<alt (- (+ x (* 3/4 y)) z)>
#<alt (- (+ x (* 3/4 y)) z)>
#<alt (- (+ x (* 3/4 y)) z)>
#<alt x>
#<alt (* x (- (+ 1 (* 3/4 (/ y x))) (/ z x)))>
#<alt (* x (- (+ 1 (* 3/4 (/ y x))) (/ z x)))>
#<alt (* x (- (+ 1 (* 3/4 (/ y x))) (/ z x)))>
#<alt x>
#<alt (* -1 (* x (- (* -1 (/ (- (* 3/4 y) z) x)) 1)))>
#<alt (* -1 (* x (- (* -1 (/ (- (* 3/4 y) z) x)) 1)))>
#<alt (* -1 (* x (- (* -1 (/ (- (* 3/4 y) z) x)) 1)))>
#<alt (- x z)>
#<alt (- (+ x (* 3/4 y)) z)>
#<alt (- (+ x (* 3/4 y)) z)>
#<alt (- (+ x (* 3/4 y)) z)>
#<alt (* 3/4 y)>
#<alt (* y (- (+ 3/4 (/ x y)) (/ z y)))>
#<alt (* y (- (+ 3/4 (/ x y)) (/ z y)))>
#<alt (* y (- (+ 3/4 (/ x y)) (/ z y)))>
#<alt (* 3/4 y)>
#<alt (* -1 (* y (- (* -1 (/ (- x z) y)) 3/4)))>
#<alt (* -1 (* y (- (* -1 (/ (- x z) y)) 3/4)))>
#<alt (* -1 (* y (- (* -1 (/ (- x z) y)) 3/4)))>
#<alt (+ x (* 3/4 y))>
#<alt (+ x (+ (* -1 z) (* 3/4 y)))>
#<alt (+ x (+ (* -1 z) (* 3/4 y)))>
#<alt (+ x (+ (* -1 z) (* 3/4 y)))>
#<alt (* -1 z)>
#<alt (* z (- (+ (* 3/4 (/ y z)) (/ x z)) 1))>
#<alt (* z (- (+ (* 3/4 (/ y z)) (/ x z)) 1))>
#<alt (* z (- (+ (* 3/4 (/ y z)) (/ x z)) 1))>
#<alt (* -1 z)>
#<alt (* -1 (* z (+ 1 (* -1 (/ (+ x (* 3/4 y)) z)))))>
#<alt (* -1 (* z (+ 1 (* -1 (/ (+ x (* 3/4 y)) z)))))>
#<alt (* -1 (* z (+ 1 (* -1 (/ (+ x (* 3/4 y)) z)))))>
Calls

33 calls:

TimeVariablePointExpression
1.0ms
y
@-inf
(/ (* 4 (- (+ x (* y 3/4)) z)) y)
1.0ms
x
@inf
(/ (* 4 (- (+ x (* y 3/4)) z)) y)
1.0ms
x
@-inf
(/ (* 4 (- (+ x (* y 3/4)) z)) y)
1.0ms
x
@0
(/ (* 4 (- (+ x (* y 3/4)) z)) y)
1.0ms
y
@inf
(/ (* 4 (- (+ x (* y 3/4)) z)) y)

rewrite408.0ms (6.1%)

Memory
22.5MiB live, 731.0MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
6 902×accelerator-lowering-fma.f32
6 902×accelerator-lowering-fma.f64
5 378×*-lowering-*.f32
5 378×*-lowering-*.f64
3 678×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01236
16836
262336
0846931
Stop Event
1×iter limit
1×node limit
Counts
4 → 325
Calls
Call 1
Inputs
(/ (* 4 (- (+ x (* y 3/4)) z)) y)
(+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y))
(+ x (* y 3/4))
(- (+ x (* y 3/4)) z)
Outputs
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 #s(literal 4 binary64) x)) (*.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 #s(literal 4 binary64) (fma.f64 y #s(literal 3/4 binary64) (-.f64 #s(literal 0 binary64) z)))))
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 x #s(literal 4 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 (fma.f64 y #s(literal 3/4 binary64) (-.f64 #s(literal 0 binary64) z)) #s(literal 4 binary64))))
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 #s(literal 4 binary64) (fma.f64 y #s(literal 3/4 binary64) x))) (*.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 #s(literal -4 binary64) z)))
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 #s(literal 4 binary64) (fma.f64 y #s(literal 3/4 binary64) x))) (*.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 (-.f64 #s(literal 0 binary64) z) #s(literal 4 binary64))))
(+.f64 (*.f64 (*.f64 #s(literal 4 binary64) x) (/.f64 #s(literal 1 binary64) y)) (*.f64 (*.f64 #s(literal 4 binary64) (fma.f64 y #s(literal 3/4 binary64) (-.f64 #s(literal 0 binary64) z))) (/.f64 #s(literal 1 binary64) y)))
(+.f64 (*.f64 (*.f64 x #s(literal 4 binary64)) (/.f64 #s(literal 1 binary64) y)) (*.f64 (*.f64 (fma.f64 y #s(literal 3/4 binary64) (-.f64 #s(literal 0 binary64) z)) #s(literal 4 binary64)) (/.f64 #s(literal 1 binary64) y)))
(+.f64 (*.f64 (*.f64 #s(literal 4 binary64) (fma.f64 y #s(literal 3/4 binary64) x)) (/.f64 #s(literal 1 binary64) y)) (*.f64 (*.f64 #s(literal -4 binary64) z) (/.f64 #s(literal 1 binary64) y)))
(+.f64 (*.f64 (*.f64 #s(literal 4 binary64) (fma.f64 y #s(literal 3/4 binary64) x)) (/.f64 #s(literal 1 binary64) y)) (*.f64 (*.f64 (-.f64 #s(literal 0 binary64) z) #s(literal 4 binary64)) (/.f64 #s(literal 1 binary64) y)))
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(*.f64 (fma.f64 z (+.f64 x (fma.f64 y #s(literal 3/4 binary64) z)) (*.f64 (fma.f64 y #s(literal 3/4 binary64) x) (fma.f64 y #s(literal 3/4 binary64) x))) (*.f64 (-.f64 (fma.f64 y #s(literal 3/4 binary64) x) z) (/.f64 #s(literal 1 binary64) (fma.f64 z (+.f64 x (fma.f64 y #s(literal 3/4 binary64) z)) (*.f64 (fma.f64 y #s(literal 3/4 binary64) x) (fma.f64 y #s(literal 3/4 binary64) x))))))
(*.f64 (*.f64 (-.f64 (fma.f64 y #s(literal 3/4 binary64) x) z) (+.f64 x (fma.f64 y #s(literal 3/4 binary64) z))) (/.f64 #s(literal 1 binary64) (+.f64 x (fma.f64 y #s(literal 3/4 binary64) z))))
(*.f64 (+.f64 x (fma.f64 y #s(literal 3/4 binary64) z)) (*.f64 (-.f64 (fma.f64 y #s(literal 3/4 binary64) x) z) (/.f64 #s(literal 1 binary64) (+.f64 x (fma.f64 y #s(literal 3/4 binary64) z)))))
(*.f64 (-.f64 #s(literal 0 binary64) (fma.f64 (fma.f64 y #s(literal 3/4 binary64) x) (*.f64 (fma.f64 y #s(literal 3/4 binary64) x) (fma.f64 y #s(literal 3/4 binary64) x)) (-.f64 #s(literal 0 binary64) (*.f64 z (*.f64 z z))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (fma.f64 z (+.f64 x (fma.f64 y #s(literal 3/4 binary64) z)) (*.f64 (fma.f64 y #s(literal 3/4 binary64) x) (fma.f64 y #s(literal 3/4 binary64) x))))))
(*.f64 (*.f64 (+.f64 x (fma.f64 y #s(literal 3/4 binary64) z)) (-.f64 #s(literal 0 binary64) (-.f64 (fma.f64 y #s(literal 3/4 binary64) x) z))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 x (fma.f64 y #s(literal 3/4 binary64) z)))))
(*.f64 (*.f64 (fma.f64 x x (*.f64 (fma.f64 y #s(literal 3/4 binary64) (-.f64 #s(literal 0 binary64) z)) (-.f64 (fma.f64 y #s(literal 3/4 binary64) (-.f64 #s(literal 0 binary64) z)) x))) (-.f64 (fma.f64 y #s(literal 3/4 binary64) x) z)) (/.f64 #s(literal 1 binary64) (fma.f64 x x (*.f64 (fma.f64 y #s(literal 3/4 binary64) (-.f64 #s(literal 0 binary64) z)) (-.f64 (fma.f64 y #s(literal 3/4 binary64) (-.f64 #s(literal 0 binary64) z)) x)))))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z (+.f64 x (fma.f64 y #s(literal 3/4 binary64) z)) (*.f64 (fma.f64 y #s(literal 3/4 binary64) x) (fma.f64 y #s(literal 3/4 binary64) x)))) (fma.f64 (fma.f64 y #s(literal 3/4 binary64) x) (*.f64 (fma.f64 y #s(literal 3/4 binary64) x) (fma.f64 y #s(literal 3/4 binary64) x)) (-.f64 #s(literal 0 binary64) (*.f64 z (*.f64 z z)))))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 x (fma.f64 y #s(literal 3/4 binary64) z))) (*.f64 (-.f64 (fma.f64 y #s(literal 3/4 binary64) x) z) (+.f64 x (fma.f64 y #s(literal 3/4 binary64) z))))
(*.f64 (*.f64 (-.f64 (fma.f64 y #s(literal 3/4 binary64) x) z) (+.f64 (+.f64 x (*.f64 y #s(literal -3/4 binary64))) z)) (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 x (*.f64 y #s(literal -3/4 binary64))) z)))
(*.f64 (/.f64 (*.f64 (-.f64 (fma.f64 y #s(literal 3/4 binary64) x) z) (+.f64 x (fma.f64 y #s(literal 3/4 binary64) z))) (*.f64 (-.f64 (fma.f64 y #s(literal 3/4 binary64) x) z) (+.f64 x (fma.f64 y #s(literal 3/4 binary64) z)))) (-.f64 (fma.f64 y #s(literal 3/4 binary64) x) z))
(*.f64 (/.f64 (fma.f64 (fma.f64 y #s(literal 3/4 binary64) x) (*.f64 (fma.f64 y #s(literal 3/4 binary64) x) (fma.f64 y #s(literal 3/4 binary64) x)) (-.f64 #s(literal 0 binary64) (*.f64 z (*.f64 z z)))) (fma.f64 (fma.f64 y #s(literal 3/4 binary64) x) (*.f64 (*.f64 (fma.f64 y #s(literal 3/4 binary64) x) (fma.f64 y #s(literal 3/4 binary64) x)) (*.f64 (fma.f64 y #s(literal 3/4 binary64) x) (*.f64 (fma.f64 y #s(literal 3/4 binary64) x) (fma.f64 y #s(literal 3/4 binary64) x)))) (*.f64 (*.f64 z (+.f64 x (fma.f64 y #s(literal 3/4 binary64) z))) (*.f64 z (*.f64 (+.f64 x (fma.f64 y #s(literal 3/4 binary64) z)) (*.f64 z (+.f64 x (fma.f64 y #s(literal 3/4 binary64) z)))))))) (fma.f64 (fma.f64 y #s(literal 3/4 binary64) x) (*.f64 (fma.f64 y #s(literal 3/4 binary64) x) (*.f64 (fma.f64 y #s(literal 3/4 binary64) x) (fma.f64 y #s(literal 3/4 binary64) x))) (*.f64 (*.f64 z (+.f64 x (fma.f64 y #s(literal 3/4 binary64) z))) (-.f64 (*.f64 z (+.f64 x (fma.f64 y #s(literal 3/4 binary64) z))) (*.f64 (fma.f64 y #s(literal 3/4 binary64) x) (fma.f64 y #s(literal 3/4 binary64) x))))))
(*.f64 (/.f64 (fma.f64 (fma.f64 y #s(literal 3/4 binary64) x) (*.f64 (fma.f64 y #s(literal 3/4 binary64) x) (fma.f64 y #s(literal 3/4 binary64) x)) (-.f64 #s(literal 0 binary64) (*.f64 z (*.f64 z z)))) (*.f64 (fma.f64 z (+.f64 x (fma.f64 y #s(literal 3/4 binary64) z)) (*.f64 (fma.f64 y #s(literal 3/4 binary64) x) (fma.f64 y #s(literal 3/4 binary64) x))) (-.f64 (*.f64 (fma.f64 y #s(literal 3/4 binary64) x) (fma.f64 y #s(literal 3/4 binary64) x)) (*.f64 z (+.f64 x (fma.f64 y #s(literal 3/4 binary64) z)))))) (-.f64 (*.f64 (fma.f64 y #s(literal 3/4 binary64) x) (fma.f64 y #s(literal 3/4 binary64) x)) (*.f64 z (+.f64 x (fma.f64 y #s(literal 3/4 binary64) z)))))
(*.f64 (/.f64 (*.f64 (-.f64 (fma.f64 y #s(literal 3/4 binary64) x) z) (+.f64 x (fma.f64 y #s(literal 3/4 binary64) z))) (fma.f64 (fma.f64 y #s(literal 3/4 binary64) x) (*.f64 (fma.f64 y #s(literal 3/4 binary64) x) (fma.f64 y #s(literal 3/4 binary64) x)) (*.f64 z (*.f64 z z)))) (fma.f64 (fma.f64 y #s(literal 3/4 binary64) x) (fma.f64 y #s(literal 3/4 binary64) x) (*.f64 z (-.f64 z (fma.f64 y #s(literal 3/4 binary64) x)))))

simplify476.0ms (7.1%)

Memory
-19.3MiB live, 542.2MiB allocated
Algorithm
1×egg-herbie
Rules
10 194×accelerator-lowering-fma.f32
10 194×accelerator-lowering-fma.f64
3 544×*-lowering-*.f32
3 544×*-lowering-*.f64
2 146×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01231170
13621170
2987948
33055890
46693888
08529784
Stop Event
1×iter limit
1×node limit
Counts
132 → 132
Calls
Call 1
Inputs
(* 4 (/ (- (* 3/4 y) z) y))
(+ (* 4 (/ x y)) (* 4 (/ (- (* 3/4 y) z) y)))
(+ (* 4 (/ x y)) (* 4 (/ (- (* 3/4 y) z) y)))
(+ (* 4 (/ x y)) (* 4 (/ (- (* 3/4 y) z) y)))
(* 4 (/ x y))
(* x (+ (* 4 (/ (- 3/4 (/ z y)) x)) (* 4 (/ 1 y))))
(* x (+ (* 4 (/ (- 3/4 (/ z y)) x)) (* 4 (/ 1 y))))
(* x (+ (* 4 (/ (- 3/4 (/ z y)) x)) (* 4 (/ 1 y))))
(* 4 (/ x y))
(* -1 (* x (- (* -4 (/ (- 3/4 (/ z y)) x)) (* 4 (/ 1 y)))))
(* -1 (* x (- (* -4 (/ (- 3/4 (/ z y)) x)) (* 4 (/ 1 y)))))
(* -1 (* x (- (* -4 (/ (- 3/4 (/ z y)) x)) (* 4 (/ 1 y)))))
(* 4 (/ (- x z) y))
(/ (+ (* 3 y) (* 4 (- x z))) y)
(/ (+ (* 3 y) (* 4 (- x z))) y)
(/ (+ (* 3 y) (* 4 (- x z))) y)
3
(+ 3 (* 4 (/ (- x z) y)))
(+ 3 (* 4 (/ (- x z) y)))
(+ 3 (* 4 (/ (- x z) y)))
3
(+ 3 (* 4 (/ (- x z) y)))
(+ 3 (* 4 (/ (- x z) y)))
(+ 3 (* 4 (/ (- x z) y)))
(* 4 (/ (+ x (* 3/4 y)) y))
(+ (* -4 (/ z y)) (* 4 (/ (+ x (* 3/4 y)) y)))
(+ (* -4 (/ z y)) (* 4 (/ (+ x (* 3/4 y)) y)))
(+ (* -4 (/ z y)) (* 4 (/ (+ x (* 3/4 y)) y)))
(* -4 (/ z y))
(* z (- (* 4 (/ (+ 3/4 (/ x y)) z)) (* 4 (/ 1 y))))
(* z (- (* 4 (/ (+ 3/4 (/ x y)) z)) (* 4 (/ 1 y))))
(* z (- (* 4 (/ (+ 3/4 (/ x y)) z)) (* 4 (/ 1 y))))
(* -4 (/ z y))
(* -1 (* z (+ (* -4 (/ (+ 3/4 (/ x y)) z)) (* 4 (/ 1 y)))))
(* -1 (* z (+ (* -4 (/ (+ 3/4 (/ x y)) z)) (* 4 (/ 1 y)))))
(* -1 (* z (+ (* -4 (/ (+ 3/4 (/ x y)) z)) (* 4 (/ 1 y)))))
(+ 1 (* 4 (/ (- (* 3/4 y) z) y)))
(+ 1 (+ (* 4 (/ x y)) (* 4 (/ (- (* 3/4 y) z) y))))
(+ 1 (+ (* 4 (/ x y)) (* 4 (/ (- (* 3/4 y) z) y))))
(+ 1 (+ (* 4 (/ x y)) (* 4 (/ (- (* 3/4 y) z) y))))
(* 4 (/ x y))
(* x (+ (* 4 (/ (- 3/4 (/ z y)) x)) (+ (/ 1 x) (* 4 (/ 1 y)))))
(* x (+ (* 4 (/ (- 3/4 (/ z y)) x)) (+ (/ 1 x) (* 4 (/ 1 y)))))
(* x (+ (* 4 (/ (- 3/4 (/ z y)) x)) (+ (/ 1 x) (* 4 (/ 1 y)))))
(* 4 (/ x y))
(* -1 (* x (- (* -1 (/ (+ 1 (* 4 (- 3/4 (/ z y)))) x)) (* 4 (/ 1 y)))))
(* -1 (* x (- (* -1 (/ (+ 1 (* 4 (- 3/4 (/ z y)))) x)) (* 4 (/ 1 y)))))
(* -1 (* x (- (* -1 (/ (+ 1 (* 4 (- 3/4 (/ z y)))) x)) (* 4 (/ 1 y)))))
(* 4 (/ (- x z) y))
(/ (+ (* 4 y) (* 4 (- x z))) y)
(/ (+ (* 4 y) (* 4 (- x z))) y)
(/ (+ (* 4 y) (* 4 (- x z))) y)
4
(+ 4 (* 4 (/ (- x z) y)))
(+ 4 (* 4 (/ (- x z) y)))
(+ 4 (* 4 (/ (- x z) y)))
4
(+ 4 (* 4 (/ (- x z) y)))
(+ 4 (* 4 (/ (- x z) y)))
(+ 4 (* 4 (/ (- x z) y)))
(+ 1 (* 4 (/ (+ x (* 3/4 y)) y)))
(+ 1 (+ (* -4 (/ z y)) (* 4 (/ (+ x (* 3/4 y)) y))))
(+ 1 (+ (* -4 (/ z y)) (* 4 (/ (+ x (* 3/4 y)) y))))
(+ 1 (+ (* -4 (/ z y)) (* 4 (/ (+ x (* 3/4 y)) y))))
(* -4 (/ z y))
(* z (- (+ (* 4 (/ (+ 3/4 (/ x y)) z)) (/ 1 z)) (* 4 (/ 1 y))))
(* z (- (+ (* 4 (/ (+ 3/4 (/ x y)) z)) (/ 1 z)) (* 4 (/ 1 y))))
(* z (- (+ (* 4 (/ (+ 3/4 (/ x y)) z)) (/ 1 z)) (* 4 (/ 1 y))))
(* -4 (/ z y))
(* -1 (* z (+ (* -1 (/ (+ 1 (* 4 (+ 3/4 (/ x y)))) z)) (* 4 (/ 1 y)))))
(* -1 (* z (+ (* -1 (/ (+ 1 (* 4 (+ 3/4 (/ x y)))) z)) (* 4 (/ 1 y)))))
(* -1 (* z (+ (* -1 (/ (+ 1 (* 4 (+ 3/4 (/ x y)))) z)) (* 4 (/ 1 y)))))
(* 3/4 y)
(+ x (* 3/4 y))
(+ x (* 3/4 y))
(+ x (* 3/4 y))
x
(* x (+ 1 (* 3/4 (/ y x))))
(* x (+ 1 (* 3/4 (/ y x))))
(* x (+ 1 (* 3/4 (/ y x))))
x
(* -1 (* x (- (* -3/4 (/ y x)) 1)))
(* -1 (* x (- (* -3/4 (/ y x)) 1)))
(* -1 (* x (- (* -3/4 (/ y x)) 1)))
x
(+ x (* 3/4 y))
(+ x (* 3/4 y))
(+ x (* 3/4 y))
(* 3/4 y)
(* y (+ 3/4 (/ x y)))
(* y (+ 3/4 (/ x y)))
(* y (+ 3/4 (/ x y)))
(* 3/4 y)
(* -1 (* y (- (* -1 (/ x y)) 3/4)))
(* -1 (* y (- (* -1 (/ x y)) 3/4)))
(* -1 (* y (- (* -1 (/ x y)) 3/4)))
(- (* 3/4 y) z)
(- (+ x (* 3/4 y)) z)
(- (+ x (* 3/4 y)) z)
(- (+ x (* 3/4 y)) z)
x
(* x (- (+ 1 (* 3/4 (/ y x))) (/ z x)))
(* x (- (+ 1 (* 3/4 (/ y x))) (/ z x)))
(* x (- (+ 1 (* 3/4 (/ y x))) (/ z x)))
x
(* -1 (* x (- (* -1 (/ (- (* 3/4 y) z) x)) 1)))
(* -1 (* x (- (* -1 (/ (- (* 3/4 y) z) x)) 1)))
(* -1 (* x (- (* -1 (/ (- (* 3/4 y) z) x)) 1)))
(- x z)
(- (+ x (* 3/4 y)) z)
(- (+ x (* 3/4 y)) z)
(- (+ x (* 3/4 y)) z)
(* 3/4 y)
(* y (- (+ 3/4 (/ x y)) (/ z y)))
(* y (- (+ 3/4 (/ x y)) (/ z y)))
(* y (- (+ 3/4 (/ x y)) (/ z y)))
(* 3/4 y)
(* -1 (* y (- (* -1 (/ (- x z) y)) 3/4)))
(* -1 (* y (- (* -1 (/ (- x z) y)) 3/4)))
(* -1 (* y (- (* -1 (/ (- x z) y)) 3/4)))
(+ x (* 3/4 y))
(+ x (+ (* -1 z) (* 3/4 y)))
(+ x (+ (* -1 z) (* 3/4 y)))
(+ x (+ (* -1 z) (* 3/4 y)))
(* -1 z)
(* z (- (+ (* 3/4 (/ y z)) (/ x z)) 1))
(* z (- (+ (* 3/4 (/ y z)) (/ x z)) 1))
(* z (- (+ (* 3/4 (/ y z)) (/ x z)) 1))
(* -1 z)
(* -1 (* z (+ 1 (* -1 (/ (+ x (* 3/4 y)) z)))))
(* -1 (* z (+ 1 (* -1 (/ (+ x (* 3/4 y)) z)))))
(* -1 (* z (+ 1 (* -1 (/ (+ x (* 3/4 y)) z)))))
Outputs
(* 4 (/ (- (* 3/4 y) z) y))
(fma.f64 z (/.f64 #s(literal -4 binary64) y) #s(literal 3 binary64))
(+ (* 4 (/ x y)) (* 4 (/ (- (* 3/4 y) z) y)))
(fma.f64 #s(literal 4 binary64) (/.f64 (-.f64 x z) y) #s(literal 3 binary64))
(+ (* 4 (/ x y)) (* 4 (/ (- (* 3/4 y) z) y)))
(fma.f64 #s(literal 4 binary64) (/.f64 (-.f64 x z) y) #s(literal 3 binary64))
(+ (* 4 (/ x y)) (* 4 (/ (- (* 3/4 y) z) y)))
(fma.f64 #s(literal 4 binary64) (/.f64 (-.f64 x z) y) #s(literal 3 binary64))
(* 4 (/ x y))
(fma.f64 #s(literal 4 binary64) (/.f64 x y) #s(literal 0 binary64))
(* x (+ (* 4 (/ (- 3/4 (/ z y)) x)) (* 4 (/ 1 y))))
(fma.f64 #s(literal 4 binary64) (/.f64 (-.f64 x z) y) #s(literal 3 binary64))
(* x (+ (* 4 (/ (- 3/4 (/ z y)) x)) (* 4 (/ 1 y))))
(fma.f64 #s(literal 4 binary64) (/.f64 (-.f64 x z) y) #s(literal 3 binary64))
(* x (+ (* 4 (/ (- 3/4 (/ z y)) x)) (* 4 (/ 1 y))))
(fma.f64 #s(literal 4 binary64) (/.f64 (-.f64 x z) y) #s(literal 3 binary64))
(* 4 (/ x y))
(fma.f64 #s(literal 4 binary64) (/.f64 x y) #s(literal 0 binary64))
(* -1 (* x (- (* -4 (/ (- 3/4 (/ z y)) x)) (* 4 (/ 1 y)))))
(fma.f64 #s(literal 4 binary64) (/.f64 (-.f64 x z) y) #s(literal 3 binary64))
(* -1 (* x (- (* -4 (/ (- 3/4 (/ z y)) x)) (* 4 (/ 1 y)))))
(fma.f64 #s(literal 4 binary64) (/.f64 (-.f64 x z) y) #s(literal 3 binary64))
(* -1 (* x (- (* -4 (/ (- 3/4 (/ z y)) x)) (* 4 (/ 1 y)))))
(fma.f64 #s(literal 4 binary64) (/.f64 (-.f64 x z) y) #s(literal 3 binary64))
(* 4 (/ (- x z) y))
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 x z)) y)
(/ (+ (* 3 y) (* 4 (- x z))) y)
(fma.f64 #s(literal 4 binary64) (/.f64 (-.f64 x z) y) #s(literal 3 binary64))
(/ (+ (* 3 y) (* 4 (- x z))) y)
(fma.f64 #s(literal 4 binary64) (/.f64 (-.f64 x z) y) #s(literal 3 binary64))
(/ (+ (* 3 y) (* 4 (- x z))) y)
(fma.f64 #s(literal 4 binary64) (/.f64 (-.f64 x z) y) #s(literal 3 binary64))
3
#s(literal 3 binary64)
(+ 3 (* 4 (/ (- x z) y)))
(fma.f64 #s(literal 4 binary64) (/.f64 (-.f64 x z) y) #s(literal 3 binary64))
(+ 3 (* 4 (/ (- x z) y)))
(fma.f64 #s(literal 4 binary64) (/.f64 (-.f64 x z) y) #s(literal 3 binary64))
(+ 3 (* 4 (/ (- x z) y)))
(fma.f64 #s(literal 4 binary64) (/.f64 (-.f64 x z) y) #s(literal 3 binary64))
3
#s(literal 3 binary64)
(+ 3 (* 4 (/ (- x z) y)))
(fma.f64 #s(literal 4 binary64) (/.f64 (-.f64 x z) y) #s(literal 3 binary64))
(+ 3 (* 4 (/ (- x z) y)))
(fma.f64 #s(literal 4 binary64) (/.f64 (-.f64 x z) y) #s(literal 3 binary64))
(+ 3 (* 4 (/ (- x z) y)))
(fma.f64 #s(literal 4 binary64) (/.f64 (-.f64 x z) y) #s(literal 3 binary64))
(* 4 (/ (+ x (* 3/4 y)) y))
(fma.f64 #s(literal 4 binary64) (/.f64 x y) #s(literal 3 binary64))
(+ (* -4 (/ z y)) (* 4 (/ (+ x (* 3/4 y)) y)))
(fma.f64 #s(literal 4 binary64) (/.f64 (-.f64 x z) y) #s(literal 3 binary64))
(+ (* -4 (/ z y)) (* 4 (/ (+ x (* 3/4 y)) y)))
(fma.f64 #s(literal 4 binary64) (/.f64 (-.f64 x z) y) #s(literal 3 binary64))
(+ (* -4 (/ z y)) (* 4 (/ (+ x (* 3/4 y)) y)))
(fma.f64 #s(literal 4 binary64) (/.f64 (-.f64 x z) y) #s(literal 3 binary64))
(* -4 (/ z y))
(fma.f64 z (/.f64 #s(literal -4 binary64) y) #s(literal 0 binary64))
(* z (- (* 4 (/ (+ 3/4 (/ x y)) z)) (* 4 (/ 1 y))))
(fma.f64 #s(literal 4 binary64) (/.f64 (-.f64 x z) y) #s(literal 3 binary64))
(* z (- (* 4 (/ (+ 3/4 (/ x y)) z)) (* 4 (/ 1 y))))
(fma.f64 #s(literal 4 binary64) (/.f64 (-.f64 x z) y) #s(literal 3 binary64))
(* z (- (* 4 (/ (+ 3/4 (/ x y)) z)) (* 4 (/ 1 y))))
(fma.f64 #s(literal 4 binary64) (/.f64 (-.f64 x z) y) #s(literal 3 binary64))
(* -4 (/ z y))
(fma.f64 z (/.f64 #s(literal -4 binary64) y) #s(literal 0 binary64))
(* -1 (* z (+ (* -4 (/ (+ 3/4 (/ x y)) z)) (* 4 (/ 1 y)))))
(fma.f64 #s(literal 4 binary64) (/.f64 (-.f64 x z) y) #s(literal 3 binary64))
(* -1 (* z (+ (* -4 (/ (+ 3/4 (/ x y)) z)) (* 4 (/ 1 y)))))
(fma.f64 #s(literal 4 binary64) (/.f64 (-.f64 x z) y) #s(literal 3 binary64))
(* -1 (* z (+ (* -4 (/ (+ 3/4 (/ x y)) z)) (* 4 (/ 1 y)))))
(fma.f64 #s(literal 4 binary64) (/.f64 (-.f64 x z) y) #s(literal 3 binary64))
(+ 1 (* 4 (/ (- (* 3/4 y) z) y)))
(fma.f64 (/.f64 z y) #s(literal -4 binary64) #s(literal 4 binary64))
(+ 1 (+ (* 4 (/ x y)) (* 4 (/ (- (* 3/4 y) z) y))))
(fma.f64 #s(literal 4 binary64) (/.f64 (-.f64 x z) y) #s(literal 4 binary64))
(+ 1 (+ (* 4 (/ x y)) (* 4 (/ (- (* 3/4 y) z) y))))
(fma.f64 #s(literal 4 binary64) (/.f64 (-.f64 x z) y) #s(literal 4 binary64))
(+ 1 (+ (* 4 (/ x y)) (* 4 (/ (- (* 3/4 y) z) y))))
(fma.f64 #s(literal 4 binary64) (/.f64 (-.f64 x z) y) #s(literal 4 binary64))
(* 4 (/ x y))
(fma.f64 #s(literal 4 binary64) (/.f64 x y) #s(literal 0 binary64))
(* x (+ (* 4 (/ (- 3/4 (/ z y)) x)) (+ (/ 1 x) (* 4 (/ 1 y)))))
(fma.f64 #s(literal 4 binary64) (/.f64 (-.f64 x z) y) #s(literal 4 binary64))
(* x (+ (* 4 (/ (- 3/4 (/ z y)) x)) (+ (/ 1 x) (* 4 (/ 1 y)))))
(fma.f64 #s(literal 4 binary64) (/.f64 (-.f64 x z) y) #s(literal 4 binary64))
(* x (+ (* 4 (/ (- 3/4 (/ z y)) x)) (+ (/ 1 x) (* 4 (/ 1 y)))))
(fma.f64 #s(literal 4 binary64) (/.f64 (-.f64 x z) y) #s(literal 4 binary64))
(* 4 (/ x y))
(fma.f64 #s(literal 4 binary64) (/.f64 x y) #s(literal 0 binary64))
(* -1 (* x (- (* -1 (/ (+ 1 (* 4 (- 3/4 (/ z y)))) x)) (* 4 (/ 1 y)))))
(fma.f64 #s(literal 4 binary64) (/.f64 (-.f64 x z) y) #s(literal 4 binary64))
(* -1 (* x (- (* -1 (/ (+ 1 (* 4 (- 3/4 (/ z y)))) x)) (* 4 (/ 1 y)))))
(fma.f64 #s(literal 4 binary64) (/.f64 (-.f64 x z) y) #s(literal 4 binary64))
(* -1 (* x (- (* -1 (/ (+ 1 (* 4 (- 3/4 (/ z y)))) x)) (* 4 (/ 1 y)))))
(fma.f64 #s(literal 4 binary64) (/.f64 (-.f64 x z) y) #s(literal 4 binary64))
(* 4 (/ (- x z) y))
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 x z)) y)
(/ (+ (* 4 y) (* 4 (- x z))) y)
(fma.f64 #s(literal 4 binary64) (/.f64 (-.f64 x z) y) #s(literal 4 binary64))
(/ (+ (* 4 y) (* 4 (- x z))) y)
(fma.f64 #s(literal 4 binary64) (/.f64 (-.f64 x z) y) #s(literal 4 binary64))
(/ (+ (* 4 y) (* 4 (- x z))) y)
(fma.f64 #s(literal 4 binary64) (/.f64 (-.f64 x z) y) #s(literal 4 binary64))
4
#s(literal 4 binary64)
(+ 4 (* 4 (/ (- x z) y)))
(fma.f64 #s(literal 4 binary64) (/.f64 (-.f64 x z) y) #s(literal 4 binary64))
(+ 4 (* 4 (/ (- x z) y)))
(fma.f64 #s(literal 4 binary64) (/.f64 (-.f64 x z) y) #s(literal 4 binary64))
(+ 4 (* 4 (/ (- x z) y)))
(fma.f64 #s(literal 4 binary64) (/.f64 (-.f64 x z) y) #s(literal 4 binary64))
4
#s(literal 4 binary64)
(+ 4 (* 4 (/ (- x z) y)))
(fma.f64 #s(literal 4 binary64) (/.f64 (-.f64 x z) y) #s(literal 4 binary64))
(+ 4 (* 4 (/ (- x z) y)))
(fma.f64 #s(literal 4 binary64) (/.f64 (-.f64 x z) y) #s(literal 4 binary64))
(+ 4 (* 4 (/ (- x z) y)))
(fma.f64 #s(literal 4 binary64) (/.f64 (-.f64 x z) y) #s(literal 4 binary64))
(+ 1 (* 4 (/ (+ x (* 3/4 y)) y)))
(fma.f64 #s(literal 4 binary64) (/.f64 x y) #s(literal 4 binary64))
(+ 1 (+ (* -4 (/ z y)) (* 4 (/ (+ x (* 3/4 y)) y))))
(fma.f64 #s(literal 4 binary64) (/.f64 (-.f64 x z) y) #s(literal 4 binary64))
(+ 1 (+ (* -4 (/ z y)) (* 4 (/ (+ x (* 3/4 y)) y))))
(fma.f64 #s(literal 4 binary64) (/.f64 (-.f64 x z) y) #s(literal 4 binary64))
(+ 1 (+ (* -4 (/ z y)) (* 4 (/ (+ x (* 3/4 y)) y))))
(fma.f64 #s(literal 4 binary64) (/.f64 (-.f64 x z) y) #s(literal 4 binary64))
(* -4 (/ z y))
(fma.f64 z (/.f64 #s(literal -4 binary64) y) #s(literal 0 binary64))
(* z (- (+ (* 4 (/ (+ 3/4 (/ x y)) z)) (/ 1 z)) (* 4 (/ 1 y))))
(fma.f64 #s(literal 4 binary64) (/.f64 (-.f64 x z) y) #s(literal 4 binary64))
(* z (- (+ (* 4 (/ (+ 3/4 (/ x y)) z)) (/ 1 z)) (* 4 (/ 1 y))))
(fma.f64 #s(literal 4 binary64) (/.f64 (-.f64 x z) y) #s(literal 4 binary64))
(* z (- (+ (* 4 (/ (+ 3/4 (/ x y)) z)) (/ 1 z)) (* 4 (/ 1 y))))
(fma.f64 #s(literal 4 binary64) (/.f64 (-.f64 x z) y) #s(literal 4 binary64))
(* -4 (/ z y))
(fma.f64 z (/.f64 #s(literal -4 binary64) y) #s(literal 0 binary64))
(* -1 (* z (+ (* -1 (/ (+ 1 (* 4 (+ 3/4 (/ x y)))) z)) (* 4 (/ 1 y)))))
(fma.f64 #s(literal 4 binary64) (/.f64 (-.f64 x z) y) #s(literal 4 binary64))
(* -1 (* z (+ (* -1 (/ (+ 1 (* 4 (+ 3/4 (/ x y)))) z)) (* 4 (/ 1 y)))))
(fma.f64 #s(literal 4 binary64) (/.f64 (-.f64 x z) y) #s(literal 4 binary64))
(* -1 (* z (+ (* -1 (/ (+ 1 (* 4 (+ 3/4 (/ x y)))) z)) (* 4 (/ 1 y)))))
(fma.f64 #s(literal 4 binary64) (/.f64 (-.f64 x z) y) #s(literal 4 binary64))
(* 3/4 y)
(fma.f64 #s(literal 3/4 binary64) y #s(literal 0 binary64))
(+ x (* 3/4 y))
(fma.f64 #s(literal 3/4 binary64) y x)
(+ x (* 3/4 y))
(fma.f64 #s(literal 3/4 binary64) y x)
(+ x (* 3/4 y))
(fma.f64 #s(literal 3/4 binary64) y x)
x
(* x (+ 1 (* 3/4 (/ y x))))
(fma.f64 #s(literal 3/4 binary64) y x)
(* x (+ 1 (* 3/4 (/ y x))))
(fma.f64 #s(literal 3/4 binary64) y x)
(* x (+ 1 (* 3/4 (/ y x))))
(fma.f64 #s(literal 3/4 binary64) y x)
x
(* -1 (* x (- (* -3/4 (/ y x)) 1)))
(fma.f64 #s(literal 3/4 binary64) y x)
(* -1 (* x (- (* -3/4 (/ y x)) 1)))
(fma.f64 #s(literal 3/4 binary64) y x)
(* -1 (* x (- (* -3/4 (/ y x)) 1)))
(fma.f64 #s(literal 3/4 binary64) y x)
x
(+ x (* 3/4 y))
(fma.f64 #s(literal 3/4 binary64) y x)
(+ x (* 3/4 y))
(fma.f64 #s(literal 3/4 binary64) y x)
(+ x (* 3/4 y))
(fma.f64 #s(literal 3/4 binary64) y x)
(* 3/4 y)
(fma.f64 #s(literal 3/4 binary64) y #s(literal 0 binary64))
(* y (+ 3/4 (/ x y)))
(fma.f64 #s(literal 3/4 binary64) y x)
(* y (+ 3/4 (/ x y)))
(fma.f64 #s(literal 3/4 binary64) y x)
(* y (+ 3/4 (/ x y)))
(fma.f64 #s(literal 3/4 binary64) y x)
(* 3/4 y)
(fma.f64 #s(literal 3/4 binary64) y #s(literal 0 binary64))
(* -1 (* y (- (* -1 (/ x y)) 3/4)))
(fma.f64 #s(literal 3/4 binary64) y x)
(* -1 (* y (- (* -1 (/ x y)) 3/4)))
(fma.f64 #s(literal 3/4 binary64) y x)
(* -1 (* y (- (* -1 (/ x y)) 3/4)))
(fma.f64 #s(literal 3/4 binary64) y x)
(- (* 3/4 y) z)
(-.f64 (fma.f64 #s(literal 3/4 binary64) y #s(literal 0 binary64)) z)
(- (+ x (* 3/4 y)) z)
(-.f64 x (fma.f64 y #s(literal -3/4 binary64) z))
(- (+ x (* 3/4 y)) z)
(-.f64 x (fma.f64 y #s(literal -3/4 binary64) z))
(- (+ x (* 3/4 y)) z)
(-.f64 x (fma.f64 y #s(literal -3/4 binary64) z))
x
(* x (- (+ 1 (* 3/4 (/ y x))) (/ z x)))
(-.f64 x (fma.f64 y #s(literal -3/4 binary64) z))
(* x (- (+ 1 (* 3/4 (/ y x))) (/ z x)))
(-.f64 x (fma.f64 y #s(literal -3/4 binary64) z))
(* x (- (+ 1 (* 3/4 (/ y x))) (/ z x)))
(-.f64 x (fma.f64 y #s(literal -3/4 binary64) z))
x
(* -1 (* x (- (* -1 (/ (- (* 3/4 y) z) x)) 1)))
(-.f64 x (fma.f64 y #s(literal -3/4 binary64) z))
(* -1 (* x (- (* -1 (/ (- (* 3/4 y) z) x)) 1)))
(-.f64 x (fma.f64 y #s(literal -3/4 binary64) z))
(* -1 (* x (- (* -1 (/ (- (* 3/4 y) z) x)) 1)))
(-.f64 x (fma.f64 y #s(literal -3/4 binary64) z))
(- x z)
(-.f64 x z)
(- (+ x (* 3/4 y)) z)
(-.f64 x (fma.f64 y #s(literal -3/4 binary64) z))
(- (+ x (* 3/4 y)) z)
(-.f64 x (fma.f64 y #s(literal -3/4 binary64) z))
(- (+ x (* 3/4 y)) z)
(-.f64 x (fma.f64 y #s(literal -3/4 binary64) z))
(* 3/4 y)
(fma.f64 #s(literal 3/4 binary64) y #s(literal 0 binary64))
(* y (- (+ 3/4 (/ x y)) (/ z y)))
(-.f64 x (fma.f64 y #s(literal -3/4 binary64) z))
(* y (- (+ 3/4 (/ x y)) (/ z y)))
(-.f64 x (fma.f64 y #s(literal -3/4 binary64) z))
(* y (- (+ 3/4 (/ x y)) (/ z y)))
(-.f64 x (fma.f64 y #s(literal -3/4 binary64) z))
(* 3/4 y)
(fma.f64 #s(literal 3/4 binary64) y #s(literal 0 binary64))
(* -1 (* y (- (* -1 (/ (- x z) y)) 3/4)))
(-.f64 x (fma.f64 y #s(literal -3/4 binary64) z))
(* -1 (* y (- (* -1 (/ (- x z) y)) 3/4)))
(-.f64 x (fma.f64 y #s(literal -3/4 binary64) z))
(* -1 (* y (- (* -1 (/ (- x z) y)) 3/4)))
(-.f64 x (fma.f64 y #s(literal -3/4 binary64) z))
(+ x (* 3/4 y))
(fma.f64 #s(literal 3/4 binary64) y x)
(+ x (+ (* -1 z) (* 3/4 y)))
(-.f64 x (fma.f64 y #s(literal -3/4 binary64) z))
(+ x (+ (* -1 z) (* 3/4 y)))
(-.f64 x (fma.f64 y #s(literal -3/4 binary64) z))
(+ x (+ (* -1 z) (* 3/4 y)))
(-.f64 x (fma.f64 y #s(literal -3/4 binary64) z))
(* -1 z)
(-.f64 #s(literal 0 binary64) z)
(* z (- (+ (* 3/4 (/ y z)) (/ x z)) 1))
(-.f64 x (fma.f64 y #s(literal -3/4 binary64) z))
(* z (- (+ (* 3/4 (/ y z)) (/ x z)) 1))
(-.f64 x (fma.f64 y #s(literal -3/4 binary64) z))
(* z (- (+ (* 3/4 (/ y z)) (/ x z)) 1))
(-.f64 x (fma.f64 y #s(literal -3/4 binary64) z))
(* -1 z)
(-.f64 #s(literal 0 binary64) z)
(* -1 (* z (+ 1 (* -1 (/ (+ x (* 3/4 y)) z)))))
(-.f64 x (fma.f64 y #s(literal -3/4 binary64) z))
(* -1 (* z (+ 1 (* -1 (/ (+ x (* 3/4 y)) z)))))
(-.f64 x (fma.f64 y #s(literal -3/4 binary64) z))
(* -1 (* z (+ 1 (* -1 (/ (+ x (* 3/4 y)) z)))))
(-.f64 x (fma.f64 y #s(literal -3/4 binary64) z))

eval102.0ms (1.5%)

Memory
16.9MiB live, 131.8MiB allocated
Compiler

Compiled 13 872 to 1 480 computations (89.3% saved)

prune76.0ms (1.1%)

Memory
-15.2MiB live, 105.1MiB allocated
Pruning

4 alts after pruning (4 fresh and 0 done)

PrunedKeptTotal
New4534457
Fresh000
Picked101
Done000
Total4544458
Accuracy
100.0%
Counts
458 → 4
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶64.0%
(fma.f64 (/.f64 z y) #s(literal -4 binary64) #s(literal 4 binary64))
▶70.2%
(fma.f64 #s(literal 4 binary64) (/.f64 x y) #s(literal 4 binary64))
▶68.5%
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 x z)) y)
▶33.1%
#s(literal 4 binary64)
Compiler

Compiled 32 to 24 computations (25% saved)

simplify83.0ms (1.2%)

Memory
30.5MiB live, 107.0MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 7 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(/.f64 z y)
✓cost-diff0
(fma.f64 (/.f64 z y) #s(literal -4 binary64) #s(literal 4 binary64))
✓cost-diff0
(/.f64 x y)
✓cost-diff0
(fma.f64 #s(literal 4 binary64) (/.f64 x y) #s(literal 4 binary64))
✓cost-diff-64
(*.f64 #s(literal 4 binary64) (-.f64 x z))
✓cost-diff0
(-.f64 x z)
✓cost-diff0
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 x z)) y)
Rules
1 072×accelerator-lowering-fma.f32
1 072×accelerator-lowering-fma.f64
592×*-lowering-*.f32
592×*-lowering-*.f64
262×div-sub
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01447
12747
25047
37347
412747
520747
635947
756147
886447
9148047
10186347
11195747
12199347
13199847
14200247
15200247
0200245
Stop Event
1×iter limit
1×saturated
Calls
Call 1
Inputs
4
(/ (* 4 (- x z)) y)
(* 4 (- x z))
4
(- x z)
x
z
y
(+ (* 4 (/ x y)) 4)
4
(/ x y)
x
y
(+ (* (/ z y) -4) 4)
(/ z y)
z
y
-4
4
Outputs
4
#s(literal 4 binary64)
(/ (* 4 (- x z)) y)
(fma.f64 (-.f64 x z) (/.f64 #s(literal 4 binary64) y) #s(literal 0 binary64))
(* 4 (- x z))
(fma.f64 #s(literal 4 binary64) (-.f64 x z) #s(literal 0 binary64))
4
#s(literal 4 binary64)
(- x z)
(-.f64 x z)
x
z
y
(+ (* 4 (/ x y)) 4)
(fma.f64 #s(literal 4 binary64) (/.f64 x y) #s(literal 4 binary64))
4
#s(literal 4 binary64)
(/ x y)
(/.f64 x y)
x
y
(+ (* (/ z y) -4) 4)
(fma.f64 (/.f64 z y) #s(literal -4 binary64) #s(literal 4 binary64))
(/ z y)
(/.f64 z y)
z
y
-4
#s(literal -4 binary64)
4
#s(literal 4 binary64)

localize74.0ms (1.1%)

Memory
-63.2MiB live, 83.4MiB allocated
Localize:

Found 7 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(fma.f64 (/.f64 z y) #s(literal -4 binary64) #s(literal 4 binary64))
✓accuracy100.0%
(/.f64 z y)
✓accuracy100.0%
(fma.f64 #s(literal 4 binary64) (/.f64 x y) #s(literal 4 binary64))
✓accuracy100.0%
(/.f64 x y)
✓accuracy100.0%
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 x z)) y)
✓accuracy100.0%
(-.f64 x z)
✓accuracy100.0%
(*.f64 #s(literal 4 binary64) (-.f64 x z))
Samples
55.0ms256×0valid
Compiler

Compiled 47 to 16 computations (66% saved)

Precisions
Click to see histograms. Total time spent on operations: 28.0ms
ival-div: 19.0ms (66.9% of total)
ival-mult: 5.0ms (17.6% of total)
ival-sub: 2.0ms (7% of total)
ival-add: 2.0ms (7% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series15.0ms (0.2%)

Memory
37.2MiB live, 37.2MiB allocated
Counts
7 → 180
Calls
Call 1
Inputs
#<alt (/ (* 4 (- x z)) y)>
#<alt (- x z)>
#<alt (* 4 (- x z))>
#<alt (+ (* 4 (/ x y)) 4)>
#<alt (/ x y)>
#<alt (+ (* (/ z y) -4) 4)>
#<alt (/ z y)>
Outputs
#<alt (* -4 (/ z y))>
#<alt (+ (* -4 (/ z y)) (* 4 (/ x y)))>
#<alt (+ (* -4 (/ z y)) (* 4 (/ x y)))>
#<alt (+ (* -4 (/ z y)) (* 4 (/ x y)))>
#<alt (* 4 (/ x y))>
#<alt (* x (+ (* -4 (/ z (* x y))) (* 4 (/ 1 y))))>
#<alt (* x (+ (* -4 (/ z (* x y))) (* 4 (/ 1 y))))>
#<alt (* x (+ (* -4 (/ z (* x y))) (* 4 (/ 1 y))))>
#<alt (* 4 (/ x y))>
#<alt (* -1 (* x (- (* 4 (/ z (* x y))) (* 4 (/ 1 y)))))>
#<alt (* -1 (* x (- (* 4 (/ z (* x y))) (* 4 (/ 1 y)))))>
#<alt (* -1 (* x (- (* 4 (/ z (* x y))) (* 4 (/ 1 y)))))>
#<alt (* 4 (/ x y))>
#<alt (+ (* -4 (/ z y)) (* 4 (/ x y)))>
#<alt (+ (* -4 (/ z y)) (* 4 (/ x y)))>
#<alt (+ (* -4 (/ z y)) (* 4 (/ x y)))>
#<alt (* -4 (/ z y))>
#<alt (* z (- (* 4 (/ x (* y z))) (* 4 (/ 1 y))))>
#<alt (* z (- (* 4 (/ x (* y z))) (* 4 (/ 1 y))))>
#<alt (* z (- (* 4 (/ x (* y z))) (* 4 (/ 1 y))))>
#<alt (* -4 (/ z y))>
#<alt (* -1 (* z (+ (* -4 (/ x (* y z))) (* 4 (/ 1 y)))))>
#<alt (* -1 (* z (+ (* -4 (/ x (* y z))) (* 4 (/ 1 y)))))>
#<alt (* -1 (* z (+ (* -4 (/ x (* y z))) (* 4 (/ 1 y)))))>
#<alt (* 4 (/ (- x z) y))>
#<alt (* 4 (/ (- x z) y))>
#<alt (* 4 (/ (- x z) y))>
#<alt (* 4 (/ (- x z) y))>
#<alt (* 4 (/ (- x z) y))>
#<alt (* 4 (/ (- x z) y))>
#<alt (* 4 (/ (- x z) y))>
#<alt (* 4 (/ (- x z) y))>
#<alt (* 4 (/ (- x z) y))>
#<alt (* 4 (/ (- x z) y))>
#<alt (* 4 (/ (- x z) y))>
#<alt (* 4 (/ (- x z) y))>
#<alt (* -1 z)>
#<alt (- x z)>
#<alt (- x z)>
#<alt (- x z)>
#<alt x>
#<alt (* x (+ 1 (* -1 (/ z x))))>
#<alt (* x (+ 1 (* -1 (/ z x))))>
#<alt (* x (+ 1 (* -1 (/ z x))))>
#<alt x>
#<alt (* -1 (* x (- (/ z x) 1)))>
#<alt (* -1 (* x (- (/ z x) 1)))>
#<alt (* -1 (* x (- (/ z x) 1)))>
#<alt x>
#<alt (+ x (* -1 z))>
#<alt (+ x (* -1 z))>
#<alt (+ x (* -1 z))>
#<alt (* -1 z)>
#<alt (* z (- (/ x z) 1))>
#<alt (* z (- (/ x z) 1))>
#<alt (* z (- (/ x z) 1))>
#<alt (* -1 z)>
#<alt (* -1 (* z (+ 1 (* -1 (/ x z)))))>
#<alt (* -1 (* z (+ 1 (* -1 (/ x z)))))>
#<alt (* -1 (* z (+ 1 (* -1 (/ x z)))))>
#<alt (* -4 z)>
#<alt (+ (* -4 z) (* 4 x))>
#<alt (+ (* -4 z) (* 4 x))>
#<alt (+ (* -4 z) (* 4 x))>
#<alt (* 4 x)>
#<alt (* x (+ 4 (* -4 (/ z x))))>
#<alt (* x (+ 4 (* -4 (/ z x))))>
#<alt (* x (+ 4 (* -4 (/ z x))))>
#<alt (* 4 x)>
#<alt (* -1 (* x (- (* 4 (/ z x)) 4)))>
#<alt (* -1 (* x (- (* 4 (/ z x)) 4)))>
#<alt (* -1 (* x (- (* 4 (/ z x)) 4)))>
#<alt (* 4 x)>
#<alt (+ (* -4 z) (* 4 x))>
#<alt (+ (* -4 z) (* 4 x))>
#<alt (+ (* -4 z) (* 4 x))>
#<alt (* -4 z)>
#<alt (* z (- (* 4 (/ x z)) 4))>
#<alt (* z (- (* 4 (/ x z)) 4))>
#<alt (* z (- (* 4 (/ x z)) 4))>
#<alt (* -4 z)>
#<alt (* -1 (* z (+ 4 (* -4 (/ x z)))))>
#<alt (* -1 (* z (+ 4 (* -4 (/ x z)))))>
#<alt (* -1 (* z (+ 4 (* -4 (/ x z)))))>
#<alt 4>
#<alt (+ 4 (* 4 (/ x y)))>
#<alt (+ 4 (* 4 (/ x y)))>
#<alt (+ 4 (* 4 (/ x y)))>
#<alt (* 4 (/ x y))>
#<alt (* x (+ (* 4 (/ 1 x)) (* 4 (/ 1 y))))>
#<alt (* x (+ (* 4 (/ 1 x)) (* 4 (/ 1 y))))>
#<alt (* x (+ (* 4 (/ 1 x)) (* 4 (/ 1 y))))>
#<alt (* 4 (/ x y))>
#<alt (* x (+ (* 4 (/ 1 y)) (* 4 (/ 1 x))))>
#<alt (* x (+ (* 4 (/ 1 y)) (* 4 (/ 1 x))))>
#<alt (* x (+ (* 4 (/ 1 y)) (* 4 (/ 1 x))))>
#<alt (* 4 (/ x y))>
#<alt (/ (+ (* 4 x) (* 4 y)) y)>
#<alt (/ (+ (* 4 x) (* 4 y)) y)>
#<alt (/ (+ (* 4 x) (* 4 y)) y)>
#<alt 4>
#<alt (+ 4 (* 4 (/ x y)))>
#<alt (+ 4 (* 4 (/ x y)))>
#<alt (+ 4 (* 4 (/ x y)))>
#<alt 4>
#<alt (+ 4 (* 4 (/ x y)))>
#<alt (+ 4 (* 4 (/ x y)))>
#<alt (+ 4 (* 4 (/ x y)))>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt 4>
#<alt (+ 4 (* -4 (/ z y)))>
#<alt (+ 4 (* -4 (/ z y)))>
#<alt (+ 4 (* -4 (/ z y)))>
#<alt (* -4 (/ z y))>
#<alt (* z (- (* 4 (/ 1 z)) (* 4 (/ 1 y))))>
#<alt (* z (- (* 4 (/ 1 z)) (* 4 (/ 1 y))))>
#<alt (* z (- (* 4 (/ 1 z)) (* 4 (/ 1 y))))>
#<alt (* -4 (/ z y))>
#<alt (* -1 (* z (- (* 4 (/ 1 y)) (* 4 (/ 1 z)))))>
#<alt (* -1 (* z (- (* 4 (/ 1 y)) (* 4 (/ 1 z)))))>
#<alt (* -1 (* z (- (* 4 (/ 1 y)) (* 4 (/ 1 z)))))>
#<alt (* -4 (/ z y))>
#<alt (/ (+ (* -4 z) (* 4 y)) y)>
#<alt (/ (+ (* -4 z) (* 4 y)) y)>
#<alt (/ (+ (* -4 z) (* 4 y)) y)>
#<alt 4>
#<alt (+ 4 (* -4 (/ z y)))>
#<alt (+ 4 (* -4 (/ z y)))>
#<alt (+ 4 (* -4 (/ z y)))>
#<alt 4>
#<alt (+ 4 (* -4 (/ z y)))>
#<alt (+ 4 (* -4 (/ z y)))>
#<alt (+ 4 (* -4 (/ z y)))>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
Calls

45 calls:

TimeVariablePointExpression
2.0ms
y
@inf
(+ (* (/ z y) -4) 4)
1.0ms
x
@-inf
(/ (* 4 (- x z)) y)
1.0ms
z
@inf
(/ (* 4 (- x z)) y)
1.0ms
x
@0
(/ (* 4 (- x z)) y)
1.0ms
y
@inf
(/ (* 4 (- x z)) y)

rewrite370.0ms (5.5%)

Memory
-2.3MiB live, 631.4MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
4 650×accelerator-lowering-fma.f32
4 650×accelerator-lowering-fma.f64
4 164×*-lowering-*.f32
4 164×*-lowering-*.f64
3 290×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01435
18135
258435
3709235
0802633
Stop Event
1×iter limit
1×node limit
Counts
7 → 402
Calls
Call 1
Inputs
(/ (* 4 (- x z)) y)
(- x z)
(* 4 (- x z))
(+ (* 4 (/ x y)) 4)
(/ x y)
(+ (* (/ z y) -4) 4)
(/ z y)
Outputs
(+.f64 (/.f64 (*.f64 #s(literal 4 binary64) x) y) (/.f64 (*.f64 z #s(literal -4 binary64)) y))
(exp.f64 (*.f64 (log.f64 (/.f64 y (*.f64 #s(literal 4 binary64) (-.f64 x z)))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 (*.f64 (-.f64 x z) #s(literal -4 binary64)) y))
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(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z (/.f64 #s(literal -4 binary64) y) #s(literal 4 binary64))) #s(literal -1 binary64))
(*.f64 (fma.f64 (/.f64 (*.f64 z (*.f64 z z)) (*.f64 y (*.f64 y y))) #s(literal -64 binary64) #s(literal 64 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 z y) (-.f64 (*.f64 (/.f64 z y) #s(literal 16 binary64)) #s(literal -16 binary64)) #s(literal 16 binary64))))
(*.f64 #s(literal 1 binary64) (fma.f64 z (/.f64 #s(literal -4 binary64) y) #s(literal 4 binary64)))
(*.f64 (fma.f64 #s(literal 16 binary64) (/.f64 (*.f64 z z) (*.f64 y y)) #s(literal -16 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 z (/.f64 #s(literal -4 binary64) y) #s(literal -4 binary64))))
(*.f64 (-.f64 #s(literal 0 binary64) (fma.f64 (/.f64 (*.f64 z (*.f64 z z)) (*.f64 y (*.f64 y y))) #s(literal -64 binary64) #s(literal 64 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (fma.f64 (/.f64 z y) (-.f64 (*.f64 (/.f64 z y) #s(literal 16 binary64)) #s(literal -16 binary64)) #s(literal 16 binary64)))))
(*.f64 (-.f64 #s(literal 0 binary64) (fma.f64 #s(literal 16 binary64) (/.f64 (*.f64 z z) (*.f64 y y)) #s(literal -16 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4 binary64) (/.f64 z y) #s(literal 4 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 z y) (-.f64 (*.f64 (/.f64 z y) #s(literal 16 binary64)) #s(literal -16 binary64)) #s(literal 16 binary64))) (fma.f64 (/.f64 (*.f64 z (*.f64 z z)) (*.f64 y (*.f64 y y))) #s(literal -64 binary64) #s(literal 64 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z (/.f64 #s(literal -4 binary64) y) #s(literal -4 binary64))) (fma.f64 #s(literal 16 binary64) (/.f64 (*.f64 z z) (*.f64 y y)) #s(literal -16 binary64)))
(*.f64 (-.f64 #s(literal 16 binary64) (/.f64 (*.f64 #s(literal 16 binary64) (*.f64 z z)) (*.f64 y y))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 4 binary64) (/.f64 (*.f64 #s(literal 4 binary64) z) y))))
(*.f64 (/.f64 (fma.f64 #s(literal 16 binary64) (/.f64 (*.f64 z z) (*.f64 y y)) #s(literal -16 binary64)) (fma.f64 #s(literal 16 binary64) (/.f64 (*.f64 z z) (*.f64 y y)) #s(literal -16 binary64))) (fma.f64 z (/.f64 #s(literal -4 binary64) y) #s(literal 4 binary64)))
(*.f64 (/.f64 (fma.f64 (/.f64 (*.f64 z (*.f64 z z)) (*.f64 y (*.f64 y y))) #s(literal -64 binary64) #s(literal 64 binary64)) (fma.f64 (fma.f64 (/.f64 z y) #s(literal 16 binary64) #s(literal 16 binary64)) (*.f64 (fma.f64 (/.f64 z y) #s(literal 16 binary64) #s(literal 16 binary64)) (fma.f64 (/.f64 z y) #s(literal 16 binary64) #s(literal 16 binary64))) (/.f64 (*.f64 (*.f64 (*.f64 z (*.f64 z z)) #s(literal -64 binary64)) (*.f64 (*.f64 z (*.f64 z z)) #s(literal -64 binary64))) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y)))))) (fma.f64 (fma.f64 (/.f64 z y) #s(literal 16 binary64) #s(literal 16 binary64)) (-.f64 (fma.f64 (/.f64 z y) #s(literal 16 binary64) #s(literal 16 binary64)) (/.f64 (*.f64 #s(literal 16 binary64) (*.f64 z z)) (*.f64 y y))) (/.f64 (*.f64 (*.f64 #s(literal 16 binary64) (*.f64 z z)) (*.f64 #s(literal 16 binary64) (*.f64 z z))) (*.f64 (*.f64 y y) (*.f64 y y)))))
(*.f64 (/.f64 (fma.f64 (/.f64 (*.f64 z (*.f64 z z)) (*.f64 y (*.f64 y y))) #s(literal -64 binary64) #s(literal 64 binary64)) (*.f64 (fma.f64 (/.f64 z y) (-.f64 (*.f64 (/.f64 z y) #s(literal 16 binary64)) #s(literal -16 binary64)) #s(literal 16 binary64)) (-.f64 (/.f64 (*.f64 #s(literal 16 binary64) (*.f64 z z)) (*.f64 y y)) (fma.f64 (/.f64 z y) #s(literal 16 binary64) #s(literal 16 binary64))))) (-.f64 (/.f64 (*.f64 #s(literal 16 binary64) (*.f64 z z)) (*.f64 y y)) (fma.f64 (/.f64 z y) #s(literal 16 binary64) #s(literal 16 binary64))))
(*.f64 (/.f64 (fma.f64 #s(literal 16 binary64) (/.f64 (*.f64 z z) (*.f64 y y)) #s(literal -16 binary64)) (fma.f64 (/.f64 (*.f64 z (*.f64 z z)) (*.f64 y (*.f64 y y))) #s(literal -64 binary64) #s(literal -64 binary64))) (fma.f64 #s(literal 16 binary64) (/.f64 (*.f64 z z) (*.f64 y y)) (fma.f64 (/.f64 z y) #s(literal -16 binary64) #s(literal 16 binary64))))
(exp.f64 (*.f64 (log.f64 (/.f64 y z)) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 z (-.f64 #s(literal 0 binary64) y)))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) y)) (/.f64 z (-.f64 #s(literal 0 binary64) y)))
(neg.f64 (/.f64 z (-.f64 #s(literal 0 binary64) y)))
(neg.f64 (*.f64 #s(literal 1 binary64) (/.f64 z (-.f64 #s(literal 0 binary64) y))))
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 y z)))
(/.f64 z y)
(/.f64 (-.f64 #s(literal 0 binary64) z) (-.f64 #s(literal 0 binary64) y))
(/.f64 #s(literal 1 binary64) (/.f64 y z))
(/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) z))
(/.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 y z)))
(/.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) z)) (-.f64 #s(literal 0 binary64) y))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) z) #s(literal 1 binary64)) (-.f64 #s(literal 0 binary64) y))
(/.f64 (/.f64 (-.f64 #s(literal 0 binary64) z) #s(literal -1 binary64)) y)
(pow.f64 (/.f64 y z) #s(literal -1 binary64))
(*.f64 z (/.f64 #s(literal 1 binary64) y))
(*.f64 (/.f64 z y) #s(literal 1 binary64))
(*.f64 (-.f64 #s(literal 0 binary64) z) (/.f64 #s(literal -1 binary64) y))
(*.f64 #s(literal 1 binary64) (/.f64 z y))
(*.f64 (/.f64 #s(literal 1 binary64) y) z)
(*.f64 (/.f64 #s(literal 1 binary64) y) (pow.f64 (/.f64 #s(literal 1 binary64) z) #s(literal -1 binary64)))
(*.f64 #s(literal -1 binary64) (/.f64 z (-.f64 #s(literal 0 binary64) y)))
(*.f64 (/.f64 #s(literal -1 binary64) y) (-.f64 #s(literal 0 binary64) z))
(*.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) z)) (/.f64 #s(literal -1 binary64) y))
(*.f64 (pow.f64 (/.f64 y z) #s(literal -1/2 binary64)) (pow.f64 (/.f64 y z) #s(literal -1/2 binary64)))

simplify315.0ms (4.7%)

Memory
-4.3MiB live, 345.1MiB allocated
Algorithm
1×egg-herbie
Rules
5 542×accelerator-lowering-fma.f32
5 542×accelerator-lowering-fma.f64
2 802×*-lowering-*.f32
2 802×*-lowering-*.f64
1 516×div-sub
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0881005
12611005
2710849
32147846
43856843
56022843
67553843
08018810
Stop Event
1×iter limit
1×node limit
Counts
180 → 180
Calls
Call 1
Inputs
(* -4 (/ z y))
(+ (* -4 (/ z y)) (* 4 (/ x y)))
(+ (* -4 (/ z y)) (* 4 (/ x y)))
(+ (* -4 (/ z y)) (* 4 (/ x y)))
(* 4 (/ x y))
(* x (+ (* -4 (/ z (* x y))) (* 4 (/ 1 y))))
(* x (+ (* -4 (/ z (* x y))) (* 4 (/ 1 y))))
(* x (+ (* -4 (/ z (* x y))) (* 4 (/ 1 y))))
(* 4 (/ x y))
(* -1 (* x (- (* 4 (/ z (* x y))) (* 4 (/ 1 y)))))
(* -1 (* x (- (* 4 (/ z (* x y))) (* 4 (/ 1 y)))))
(* -1 (* x (- (* 4 (/ z (* x y))) (* 4 (/ 1 y)))))
(* 4 (/ x y))
(+ (* -4 (/ z y)) (* 4 (/ x y)))
(+ (* -4 (/ z y)) (* 4 (/ x y)))
(+ (* -4 (/ z y)) (* 4 (/ x y)))
(* -4 (/ z y))
(* z (- (* 4 (/ x (* y z))) (* 4 (/ 1 y))))
(* z (- (* 4 (/ x (* y z))) (* 4 (/ 1 y))))
(* z (- (* 4 (/ x (* y z))) (* 4 (/ 1 y))))
(* -4 (/ z y))
(* -1 (* z (+ (* -4 (/ x (* y z))) (* 4 (/ 1 y)))))
(* -1 (* z (+ (* -4 (/ x (* y z))) (* 4 (/ 1 y)))))
(* -1 (* z (+ (* -4 (/ x (* y z))) (* 4 (/ 1 y)))))
(* 4 (/ (- x z) y))
(* 4 (/ (- x z) y))
(* 4 (/ (- x z) y))
(* 4 (/ (- x z) y))
(* 4 (/ (- x z) y))
(* 4 (/ (- x z) y))
(* 4 (/ (- x z) y))
(* 4 (/ (- x z) y))
(* 4 (/ (- x z) y))
(* 4 (/ (- x z) y))
(* 4 (/ (- x z) y))
(* 4 (/ (- x z) y))
(* -1 z)
(- x z)
(- x z)
(- x z)
x
(* x (+ 1 (* -1 (/ z x))))
(* x (+ 1 (* -1 (/ z x))))
(* x (+ 1 (* -1 (/ z x))))
x
(* -1 (* x (- (/ z x) 1)))
(* -1 (* x (- (/ z x) 1)))
(* -1 (* x (- (/ z x) 1)))
x
(+ x (* -1 z))
(+ x (* -1 z))
(+ x (* -1 z))
(* -1 z)
(* z (- (/ x z) 1))
(* z (- (/ x z) 1))
(* z (- (/ x z) 1))
(* -1 z)
(* -1 (* z (+ 1 (* -1 (/ x z)))))
(* -1 (* z (+ 1 (* -1 (/ x z)))))
(* -1 (* z (+ 1 (* -1 (/ x z)))))
(* -4 z)
(+ (* -4 z) (* 4 x))
(+ (* -4 z) (* 4 x))
(+ (* -4 z) (* 4 x))
(* 4 x)
(* x (+ 4 (* -4 (/ z x))))
(* x (+ 4 (* -4 (/ z x))))
(* x (+ 4 (* -4 (/ z x))))
(* 4 x)
(* -1 (* x (- (* 4 (/ z x)) 4)))
(* -1 (* x (- (* 4 (/ z x)) 4)))
(* -1 (* x (- (* 4 (/ z x)) 4)))
(* 4 x)
(+ (* -4 z) (* 4 x))
(+ (* -4 z) (* 4 x))
(+ (* -4 z) (* 4 x))
(* -4 z)
(* z (- (* 4 (/ x z)) 4))
(* z (- (* 4 (/ x z)) 4))
(* z (- (* 4 (/ x z)) 4))
(* -4 z)
(* -1 (* z (+ 4 (* -4 (/ x z)))))
(* -1 (* z (+ 4 (* -4 (/ x z)))))
(* -1 (* z (+ 4 (* -4 (/ x z)))))
4
(+ 4 (* 4 (/ x y)))
(+ 4 (* 4 (/ x y)))
(+ 4 (* 4 (/ x y)))
(* 4 (/ x y))
(* x (+ (* 4 (/ 1 x)) (* 4 (/ 1 y))))
(* x (+ (* 4 (/ 1 x)) (* 4 (/ 1 y))))
(* x (+ (* 4 (/ 1 x)) (* 4 (/ 1 y))))
(* 4 (/ x y))
(* x (+ (* 4 (/ 1 y)) (* 4 (/ 1 x))))
(* x (+ (* 4 (/ 1 y)) (* 4 (/ 1 x))))
(* x (+ (* 4 (/ 1 y)) (* 4 (/ 1 x))))
(* 4 (/ x y))
(/ (+ (* 4 x) (* 4 y)) y)
(/ (+ (* 4 x) (* 4 y)) y)
(/ (+ (* 4 x) (* 4 y)) y)
4
(+ 4 (* 4 (/ x y)))
(+ 4 (* 4 (/ x y)))
(+ 4 (* 4 (/ x y)))
4
(+ 4 (* 4 (/ x y)))
(+ 4 (* 4 (/ x y)))
(+ 4 (* 4 (/ x y)))
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
4
(+ 4 (* -4 (/ z y)))
(+ 4 (* -4 (/ z y)))
(+ 4 (* -4 (/ z y)))
(* -4 (/ z y))
(* z (- (* 4 (/ 1 z)) (* 4 (/ 1 y))))
(* z (- (* 4 (/ 1 z)) (* 4 (/ 1 y))))
(* z (- (* 4 (/ 1 z)) (* 4 (/ 1 y))))
(* -4 (/ z y))
(* -1 (* z (- (* 4 (/ 1 y)) (* 4 (/ 1 z)))))
(* -1 (* z (- (* 4 (/ 1 y)) (* 4 (/ 1 z)))))
(* -1 (* z (- (* 4 (/ 1 y)) (* 4 (/ 1 z)))))
(* -4 (/ z y))
(/ (+ (* -4 z) (* 4 y)) y)
(/ (+ (* -4 z) (* 4 y)) y)
(/ (+ (* -4 z) (* 4 y)) y)
4
(+ 4 (* -4 (/ z y)))
(+ 4 (* -4 (/ z y)))
(+ 4 (* -4 (/ z y)))
4
(+ 4 (* -4 (/ z y)))
(+ 4 (* -4 (/ z y)))
(+ 4 (* -4 (/ z y)))
(/ z y)
(/ z y)
(/ z y)
(/ z y)
(/ z y)
(/ z y)
(/ z y)
(/ z y)
(/ z y)
(/ z y)
(/ z y)
(/ z y)
(/ z y)
(/ z y)
(/ z y)
(/ z y)
(/ z y)
(/ z y)
(/ z y)
(/ z y)
(/ z y)
(/ z y)
(/ z y)
(/ z y)
Outputs
(* -4 (/ z y))
(fma.f64 #s(literal -4 binary64) (/.f64 z y) #s(literal 0 binary64))
(+ (* -4 (/ z y)) (* 4 (/ x y)))
(fma.f64 (/.f64 #s(literal 4 binary64) y) (-.f64 x z) #s(literal 0 binary64))
(+ (* -4 (/ z y)) (* 4 (/ x y)))
(fma.f64 (/.f64 #s(literal 4 binary64) y) (-.f64 x z) #s(literal 0 binary64))
(+ (* -4 (/ z y)) (* 4 (/ x y)))
(fma.f64 (/.f64 #s(literal 4 binary64) y) (-.f64 x z) #s(literal 0 binary64))
(* 4 (/ x y))
(fma.f64 #s(literal 4 binary64) (/.f64 x y) #s(literal 0 binary64))
(* x (+ (* -4 (/ z (* x y))) (* 4 (/ 1 y))))
(fma.f64 (/.f64 #s(literal 4 binary64) y) (-.f64 x z) #s(literal 0 binary64))
(* x (+ (* -4 (/ z (* x y))) (* 4 (/ 1 y))))
(fma.f64 (/.f64 #s(literal 4 binary64) y) (-.f64 x z) #s(literal 0 binary64))
(* x (+ (* -4 (/ z (* x y))) (* 4 (/ 1 y))))
(fma.f64 (/.f64 #s(literal 4 binary64) y) (-.f64 x z) #s(literal 0 binary64))
(* 4 (/ x y))
(fma.f64 #s(literal 4 binary64) (/.f64 x y) #s(literal 0 binary64))
(* -1 (* x (- (* 4 (/ z (* x y))) (* 4 (/ 1 y)))))
(fma.f64 (/.f64 #s(literal 4 binary64) y) (-.f64 x z) #s(literal 0 binary64))
(* -1 (* x (- (* 4 (/ z (* x y))) (* 4 (/ 1 y)))))
(fma.f64 (/.f64 #s(literal 4 binary64) y) (-.f64 x z) #s(literal 0 binary64))
(* -1 (* x (- (* 4 (/ z (* x y))) (* 4 (/ 1 y)))))
(fma.f64 (/.f64 #s(literal 4 binary64) y) (-.f64 x z) #s(literal 0 binary64))
(* 4 (/ x y))
(fma.f64 #s(literal 4 binary64) (/.f64 x y) #s(literal 0 binary64))
(+ (* -4 (/ z y)) (* 4 (/ x y)))
(fma.f64 (/.f64 #s(literal 4 binary64) y) (-.f64 x z) #s(literal 0 binary64))
(+ (* -4 (/ z y)) (* 4 (/ x y)))
(fma.f64 (/.f64 #s(literal 4 binary64) y) (-.f64 x z) #s(literal 0 binary64))
(+ (* -4 (/ z y)) (* 4 (/ x y)))
(fma.f64 (/.f64 #s(literal 4 binary64) y) (-.f64 x z) #s(literal 0 binary64))
(* -4 (/ z y))
(fma.f64 #s(literal -4 binary64) (/.f64 z y) #s(literal 0 binary64))
(* z (- (* 4 (/ x (* y z))) (* 4 (/ 1 y))))
(fma.f64 (/.f64 #s(literal 4 binary64) y) (-.f64 x z) #s(literal 0 binary64))
(* z (- (* 4 (/ x (* y z))) (* 4 (/ 1 y))))
(fma.f64 (/.f64 #s(literal 4 binary64) y) (-.f64 x z) #s(literal 0 binary64))
(* z (- (* 4 (/ x (* y z))) (* 4 (/ 1 y))))
(fma.f64 (/.f64 #s(literal 4 binary64) y) (-.f64 x z) #s(literal 0 binary64))
(* -4 (/ z y))
(fma.f64 #s(literal -4 binary64) (/.f64 z y) #s(literal 0 binary64))
(* -1 (* z (+ (* -4 (/ x (* y z))) (* 4 (/ 1 y)))))
(fma.f64 (/.f64 #s(literal 4 binary64) y) (-.f64 x z) #s(literal 0 binary64))
(* -1 (* z (+ (* -4 (/ x (* y z))) (* 4 (/ 1 y)))))
(fma.f64 (/.f64 #s(literal 4 binary64) y) (-.f64 x z) #s(literal 0 binary64))
(* -1 (* z (+ (* -4 (/ x (* y z))) (* 4 (/ 1 y)))))
(fma.f64 (/.f64 #s(literal 4 binary64) y) (-.f64 x z) #s(literal 0 binary64))
(* 4 (/ (- x z) y))
(fma.f64 (/.f64 #s(literal 4 binary64) y) (-.f64 x z) #s(literal 0 binary64))
(* 4 (/ (- x z) y))
(fma.f64 (/.f64 #s(literal 4 binary64) y) (-.f64 x z) #s(literal 0 binary64))
(* 4 (/ (- x z) y))
(fma.f64 (/.f64 #s(literal 4 binary64) y) (-.f64 x z) #s(literal 0 binary64))
(* 4 (/ (- x z) y))
(fma.f64 (/.f64 #s(literal 4 binary64) y) (-.f64 x z) #s(literal 0 binary64))
(* 4 (/ (- x z) y))
(fma.f64 (/.f64 #s(literal 4 binary64) y) (-.f64 x z) #s(literal 0 binary64))
(* 4 (/ (- x z) y))
(fma.f64 (/.f64 #s(literal 4 binary64) y) (-.f64 x z) #s(literal 0 binary64))
(* 4 (/ (- x z) y))
(fma.f64 (/.f64 #s(literal 4 binary64) y) (-.f64 x z) #s(literal 0 binary64))
(* 4 (/ (- x z) y))
(fma.f64 (/.f64 #s(literal 4 binary64) y) (-.f64 x z) #s(literal 0 binary64))
(* 4 (/ (- x z) y))
(fma.f64 (/.f64 #s(literal 4 binary64) y) (-.f64 x z) #s(literal 0 binary64))
(* 4 (/ (- x z) y))
(fma.f64 (/.f64 #s(literal 4 binary64) y) (-.f64 x z) #s(literal 0 binary64))
(* 4 (/ (- x z) y))
(fma.f64 (/.f64 #s(literal 4 binary64) y) (-.f64 x z) #s(literal 0 binary64))
(* 4 (/ (- x z) y))
(fma.f64 (/.f64 #s(literal 4 binary64) y) (-.f64 x z) #s(literal 0 binary64))
(* -1 z)
(-.f64 #s(literal 0 binary64) z)
(- x z)
(-.f64 x z)
(- x z)
(-.f64 x z)
(- x z)
(-.f64 x z)
x
(* x (+ 1 (* -1 (/ z x))))
(-.f64 x z)
(* x (+ 1 (* -1 (/ z x))))
(-.f64 x z)
(* x (+ 1 (* -1 (/ z x))))
(-.f64 x z)
x
(* -1 (* x (- (/ z x) 1)))
(-.f64 x z)
(* -1 (* x (- (/ z x) 1)))
(-.f64 x z)
(* -1 (* x (- (/ z x) 1)))
(-.f64 x z)
x
(+ x (* -1 z))
(-.f64 x z)
(+ x (* -1 z))
(-.f64 x z)
(+ x (* -1 z))
(-.f64 x z)
(* -1 z)
(-.f64 #s(literal 0 binary64) z)
(* z (- (/ x z) 1))
(-.f64 x z)
(* z (- (/ x z) 1))
(-.f64 x z)
(* z (- (/ x z) 1))
(-.f64 x z)
(* -1 z)
(-.f64 #s(literal 0 binary64) z)
(* -1 (* z (+ 1 (* -1 (/ x z)))))
(-.f64 x z)
(* -1 (* z (+ 1 (* -1 (/ x z)))))
(-.f64 x z)
(* -1 (* z (+ 1 (* -1 (/ x z)))))
(-.f64 x z)
(* -4 z)
(fma.f64 #s(literal -4 binary64) z #s(literal 0 binary64))
(+ (* -4 z) (* 4 x))
(fma.f64 #s(literal -4 binary64) (-.f64 z x) #s(literal 0 binary64))
(+ (* -4 z) (* 4 x))
(fma.f64 #s(literal -4 binary64) (-.f64 z x) #s(literal 0 binary64))
(+ (* -4 z) (* 4 x))
(fma.f64 #s(literal -4 binary64) (-.f64 z x) #s(literal 0 binary64))
(* 4 x)
(fma.f64 #s(literal 4 binary64) x #s(literal 0 binary64))
(* x (+ 4 (* -4 (/ z x))))
(fma.f64 #s(literal -4 binary64) (-.f64 z x) #s(literal 0 binary64))
(* x (+ 4 (* -4 (/ z x))))
(fma.f64 #s(literal -4 binary64) (-.f64 z x) #s(literal 0 binary64))
(* x (+ 4 (* -4 (/ z x))))
(fma.f64 #s(literal -4 binary64) (-.f64 z x) #s(literal 0 binary64))
(* 4 x)
(fma.f64 #s(literal 4 binary64) x #s(literal 0 binary64))
(* -1 (* x (- (* 4 (/ z x)) 4)))
(fma.f64 #s(literal -4 binary64) (-.f64 z x) #s(literal 0 binary64))
(* -1 (* x (- (* 4 (/ z x)) 4)))
(fma.f64 #s(literal -4 binary64) (-.f64 z x) #s(literal 0 binary64))
(* -1 (* x (- (* 4 (/ z x)) 4)))
(fma.f64 #s(literal -4 binary64) (-.f64 z x) #s(literal 0 binary64))
(* 4 x)
(fma.f64 #s(literal 4 binary64) x #s(literal 0 binary64))
(+ (* -4 z) (* 4 x))
(fma.f64 #s(literal -4 binary64) (-.f64 z x) #s(literal 0 binary64))
(+ (* -4 z) (* 4 x))
(fma.f64 #s(literal -4 binary64) (-.f64 z x) #s(literal 0 binary64))
(+ (* -4 z) (* 4 x))
(fma.f64 #s(literal -4 binary64) (-.f64 z x) #s(literal 0 binary64))
(* -4 z)
(fma.f64 #s(literal -4 binary64) z #s(literal 0 binary64))
(* z (- (* 4 (/ x z)) 4))
(fma.f64 #s(literal -4 binary64) (-.f64 z x) #s(literal 0 binary64))
(* z (- (* 4 (/ x z)) 4))
(fma.f64 #s(literal -4 binary64) (-.f64 z x) #s(literal 0 binary64))
(* z (- (* 4 (/ x z)) 4))
(fma.f64 #s(literal -4 binary64) (-.f64 z x) #s(literal 0 binary64))
(* -4 z)
(fma.f64 #s(literal -4 binary64) z #s(literal 0 binary64))
(* -1 (* z (+ 4 (* -4 (/ x z)))))
(fma.f64 #s(literal -4 binary64) (-.f64 z x) #s(literal 0 binary64))
(* -1 (* z (+ 4 (* -4 (/ x z)))))
(fma.f64 #s(literal -4 binary64) (-.f64 z x) #s(literal 0 binary64))
(* -1 (* z (+ 4 (* -4 (/ x z)))))
(fma.f64 #s(literal -4 binary64) (-.f64 z x) #s(literal 0 binary64))
4
#s(literal 4 binary64)
(+ 4 (* 4 (/ x y)))
(fma.f64 #s(literal 4 binary64) (/.f64 x y) #s(literal 4 binary64))
(+ 4 (* 4 (/ x y)))
(fma.f64 #s(literal 4 binary64) (/.f64 x y) #s(literal 4 binary64))
(+ 4 (* 4 (/ x y)))
(fma.f64 #s(literal 4 binary64) (/.f64 x y) #s(literal 4 binary64))
(* 4 (/ x y))
(fma.f64 #s(literal 4 binary64) (/.f64 x y) #s(literal 0 binary64))
(* x (+ (* 4 (/ 1 x)) (* 4 (/ 1 y))))
(fma.f64 #s(literal 4 binary64) (/.f64 x y) #s(literal 4 binary64))
(* x (+ (* 4 (/ 1 x)) (* 4 (/ 1 y))))
(fma.f64 #s(literal 4 binary64) (/.f64 x y) #s(literal 4 binary64))
(* x (+ (* 4 (/ 1 x)) (* 4 (/ 1 y))))
(fma.f64 #s(literal 4 binary64) (/.f64 x y) #s(literal 4 binary64))
(* 4 (/ x y))
(fma.f64 #s(literal 4 binary64) (/.f64 x y) #s(literal 0 binary64))
(* x (+ (* 4 (/ 1 y)) (* 4 (/ 1 x))))
(fma.f64 #s(literal 4 binary64) (/.f64 x y) #s(literal 4 binary64))
(* x (+ (* 4 (/ 1 y)) (* 4 (/ 1 x))))
(fma.f64 #s(literal 4 binary64) (/.f64 x y) #s(literal 4 binary64))
(* x (+ (* 4 (/ 1 y)) (* 4 (/ 1 x))))
(fma.f64 #s(literal 4 binary64) (/.f64 x y) #s(literal 4 binary64))
(* 4 (/ x y))
(fma.f64 #s(literal 4 binary64) (/.f64 x y) #s(literal 0 binary64))
(/ (+ (* 4 x) (* 4 y)) y)
(fma.f64 #s(literal 4 binary64) (/.f64 x y) #s(literal 4 binary64))
(/ (+ (* 4 x) (* 4 y)) y)
(fma.f64 #s(literal 4 binary64) (/.f64 x y) #s(literal 4 binary64))
(/ (+ (* 4 x) (* 4 y)) y)
(fma.f64 #s(literal 4 binary64) (/.f64 x y) #s(literal 4 binary64))
4
#s(literal 4 binary64)
(+ 4 (* 4 (/ x y)))
(fma.f64 #s(literal 4 binary64) (/.f64 x y) #s(literal 4 binary64))
(+ 4 (* 4 (/ x y)))
(fma.f64 #s(literal 4 binary64) (/.f64 x y) #s(literal 4 binary64))
(+ 4 (* 4 (/ x y)))
(fma.f64 #s(literal 4 binary64) (/.f64 x y) #s(literal 4 binary64))
4
#s(literal 4 binary64)
(+ 4 (* 4 (/ x y)))
(fma.f64 #s(literal 4 binary64) (/.f64 x y) #s(literal 4 binary64))
(+ 4 (* 4 (/ x y)))
(fma.f64 #s(literal 4 binary64) (/.f64 x y) #s(literal 4 binary64))
(+ 4 (* 4 (/ x y)))
(fma.f64 #s(literal 4 binary64) (/.f64 x y) #s(literal 4 binary64))
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
4
#s(literal 4 binary64)
(+ 4 (* -4 (/ z y)))
(fma.f64 #s(literal -4 binary64) (/.f64 z y) #s(literal 4 binary64))
(+ 4 (* -4 (/ z y)))
(fma.f64 #s(literal -4 binary64) (/.f64 z y) #s(literal 4 binary64))
(+ 4 (* -4 (/ z y)))
(fma.f64 #s(literal -4 binary64) (/.f64 z y) #s(literal 4 binary64))
(* -4 (/ z y))
(fma.f64 #s(literal -4 binary64) (/.f64 z y) #s(literal 0 binary64))
(* z (- (* 4 (/ 1 z)) (* 4 (/ 1 y))))
(fma.f64 #s(literal -4 binary64) (/.f64 z y) #s(literal 4 binary64))
(* z (- (* 4 (/ 1 z)) (* 4 (/ 1 y))))
(fma.f64 #s(literal -4 binary64) (/.f64 z y) #s(literal 4 binary64))
(* z (- (* 4 (/ 1 z)) (* 4 (/ 1 y))))
(fma.f64 #s(literal -4 binary64) (/.f64 z y) #s(literal 4 binary64))
(* -4 (/ z y))
(fma.f64 #s(literal -4 binary64) (/.f64 z y) #s(literal 0 binary64))
(* -1 (* z (- (* 4 (/ 1 y)) (* 4 (/ 1 z)))))
(fma.f64 #s(literal -4 binary64) (/.f64 z y) #s(literal 4 binary64))
(* -1 (* z (- (* 4 (/ 1 y)) (* 4 (/ 1 z)))))
(fma.f64 #s(literal -4 binary64) (/.f64 z y) #s(literal 4 binary64))
(* -1 (* z (- (* 4 (/ 1 y)) (* 4 (/ 1 z)))))
(fma.f64 #s(literal -4 binary64) (/.f64 z y) #s(literal 4 binary64))
(* -4 (/ z y))
(fma.f64 #s(literal -4 binary64) (/.f64 z y) #s(literal 0 binary64))
(/ (+ (* -4 z) (* 4 y)) y)
(/.f64 (fma.f64 #s(literal 4 binary64) (-.f64 y z) #s(literal 0 binary64)) y)
(/ (+ (* -4 z) (* 4 y)) y)
(/.f64 (fma.f64 #s(literal 4 binary64) (-.f64 y z) #s(literal 0 binary64)) y)
(/ (+ (* -4 z) (* 4 y)) y)
(/.f64 (fma.f64 #s(literal 4 binary64) (-.f64 y z) #s(literal 0 binary64)) y)
4
#s(literal 4 binary64)
(+ 4 (* -4 (/ z y)))
(fma.f64 #s(literal -4 binary64) (/.f64 z y) #s(literal 4 binary64))
(+ 4 (* -4 (/ z y)))
(fma.f64 #s(literal -4 binary64) (/.f64 z y) #s(literal 4 binary64))
(+ 4 (* -4 (/ z y)))
(fma.f64 #s(literal -4 binary64) (/.f64 z y) #s(literal 4 binary64))
4
#s(literal 4 binary64)
(+ 4 (* -4 (/ z y)))
(fma.f64 #s(literal -4 binary64) (/.f64 z y) #s(literal 4 binary64))
(+ 4 (* -4 (/ z y)))
(fma.f64 #s(literal -4 binary64) (/.f64 z y) #s(literal 4 binary64))
(+ 4 (* -4 (/ z y)))
(fma.f64 #s(literal -4 binary64) (/.f64 z y) #s(literal 4 binary64))
(/ z y)
(/.f64 z y)
(/ z y)
(/.f64 z y)
(/ z y)
(/.f64 z y)
(/ z y)
(/.f64 z y)
(/ z y)
(/.f64 z y)
(/ z y)
(/.f64 z y)
(/ z y)
(/.f64 z y)
(/ z y)
(/.f64 z y)
(/ z y)
(/.f64 z y)
(/ z y)
(/.f64 z y)
(/ z y)
(/.f64 z y)
(/ z y)
(/.f64 z y)
(/ z y)
(/.f64 z y)
(/ z y)
(/.f64 z y)
(/ z y)
(/.f64 z y)
(/ z y)
(/.f64 z y)
(/ z y)
(/.f64 z y)
(/ z y)
(/.f64 z y)
(/ z y)
(/.f64 z y)
(/ z y)
(/.f64 z y)
(/ z y)
(/.f64 z y)
(/ z y)
(/.f64 z y)
(/ z y)
(/.f64 z y)
(/ z y)
(/.f64 z y)

eval101.0ms (1.5%)

Memory
4.8MiB live, 122.8MiB allocated
Compiler

Compiled 10 619 to 1 158 computations (89.1% saved)

prune106.0ms (1.6%)

Memory
10.1MiB live, 98.3MiB allocated
Pruning

6 alts after pruning (2 fresh and 4 done)

PrunedKeptTotal
New5802582
Fresh000
Picked044
Done000
Total5806586
Accuracy
100.0%
Counts
586 → 6
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓64.0%
(fma.f64 (/.f64 z y) #s(literal -4 binary64) #s(literal 4 binary64))
▶70.2%
(fma.f64 (/.f64 #s(literal 4 binary64) y) x #s(literal 4 binary64))
✓70.2%
(fma.f64 #s(literal 4 binary64) (/.f64 x y) #s(literal 4 binary64))
✓68.5%
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 x z)) y)
▶39.1%
(/.f64 (*.f64 #s(literal 4 binary64) x) y)
✓33.1%
#s(literal 4 binary64)
Compiler

Compiled 49 to 36 computations (26.5% saved)

simplify82.0ms (1.2%)

Memory
-31.9MiB live, 7.5MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(/.f64 #s(literal 4 binary64) y)
✓cost-diff0
(fma.f64 (/.f64 #s(literal 4 binary64) y) x #s(literal 4 binary64))
✓cost-diff0
(*.f64 #s(literal 4 binary64) x)
✓cost-diff0
(/.f64 (*.f64 #s(literal 4 binary64) x) y)
Rules
16×*-lowering-*.f32
16×*-lowering-*.f64
8×*-commutative
8×+-lowering-+.f64
8×+-lowering-+.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0824
11324
21424
31724
42124
52324
02323
Stop Event
1×iter limit
1×saturated
Calls
Call 1
Inputs
(/ (* 4 x) y)
(* 4 x)
4
x
y
(+ (* (/ 4 y) x) 4)
(/ 4 y)
4
y
x
Outputs
(/ (* 4 x) y)
(/.f64 (*.f64 #s(literal 4 binary64) x) y)
(* 4 x)
(*.f64 #s(literal 4 binary64) x)
4
#s(literal 4 binary64)
x
y
(+ (* (/ 4 y) x) 4)
(fma.f64 #s(literal 4 binary64) (/.f64 x y) #s(literal 4 binary64))
(/ 4 y)
(/.f64 #s(literal 4 binary64) y)
4
#s(literal 4 binary64)
y
x

localize32.0ms (0.5%)

Memory
4.7MiB live, 43.2MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(/.f64 #s(literal 4 binary64) y)
✓accuracy99.9%
(fma.f64 (/.f64 #s(literal 4 binary64) y) x #s(literal 4 binary64))
✓accuracy100.0%
(/.f64 (*.f64 #s(literal 4 binary64) x) y)
✓accuracy100.0%
(*.f64 #s(literal 4 binary64) x)
Samples
17.0ms256×0valid
Compiler

Compiled 25 to 11 computations (56% saved)

Precisions
Click to see histograms. Total time spent on operations: 9.0ms
ival-div: 4.0ms (46.8% of total)
ival-mult: 3.0ms (35.1% of total)
ival-add: 1.0ms (11.7% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series3.0ms (0%)

Memory
5.6MiB live, 5.6MiB allocated
Counts
4 → 72
Calls
Call 1
Inputs
#<alt (/ (* 4 x) y)>
#<alt (* 4 x)>
#<alt (+ (* (/ 4 y) x) 4)>
#<alt (/ 4 y)>
Outputs
#<alt (* 4 (/ x y))>
#<alt (* 4 (/ x y))>
#<alt (* 4 (/ x y))>
#<alt (* 4 (/ x y))>
#<alt (* 4 (/ x y))>
#<alt (* 4 (/ x y))>
#<alt (* 4 (/ x y))>
#<alt (* 4 (/ x y))>
#<alt (* 4 (/ x y))>
#<alt (* 4 (/ x y))>
#<alt (* 4 (/ x y))>
#<alt (* 4 (/ x y))>
#<alt (* 4 (/ x y))>
#<alt (* 4 (/ x y))>
#<alt (* 4 (/ x y))>
#<alt (* 4 (/ x y))>
#<alt (* 4 (/ x y))>
#<alt (* 4 (/ x y))>
#<alt (* 4 (/ x y))>
#<alt (* 4 (/ x y))>
#<alt (* 4 (/ x y))>
#<alt (* 4 (/ x y))>
#<alt (* 4 (/ x y))>
#<alt (* 4 (/ x y))>
#<alt (* 4 x)>
#<alt (* 4 x)>
#<alt (* 4 x)>
#<alt (* 4 x)>
#<alt (* 4 x)>
#<alt (* 4 x)>
#<alt (* 4 x)>
#<alt (* 4 x)>
#<alt (* 4 x)>
#<alt (* 4 x)>
#<alt (* 4 x)>
#<alt (* 4 x)>
#<alt (* 4 (/ x y))>
#<alt (/ (+ (* 4 x) (* 4 y)) y)>
#<alt (/ (+ (* 4 x) (* 4 y)) y)>
#<alt (/ (+ (* 4 x) (* 4 y)) y)>
#<alt 4>
#<alt (+ 4 (* 4 (/ x y)))>
#<alt (+ 4 (* 4 (/ x y)))>
#<alt (+ 4 (* 4 (/ x y)))>
#<alt 4>
#<alt (+ 4 (* 4 (/ x y)))>
#<alt (+ 4 (* 4 (/ x y)))>
#<alt (+ 4 (* 4 (/ x y)))>
#<alt 4>
#<alt (+ 4 (* 4 (/ x y)))>
#<alt (+ 4 (* 4 (/ x y)))>
#<alt (+ 4 (* 4 (/ x y)))>
#<alt (* 4 (/ x y))>
#<alt (* x (+ (* 4 (/ 1 x)) (* 4 (/ 1 y))))>
#<alt (* x (+ (* 4 (/ 1 x)) (* 4 (/ 1 y))))>
#<alt (* x (+ (* 4 (/ 1 x)) (* 4 (/ 1 y))))>
#<alt (* 4 (/ x y))>
#<alt (* x (+ (* 4 (/ 1 y)) (* 4 (/ 1 x))))>
#<alt (* x (+ (* 4 (/ 1 y)) (* 4 (/ 1 x))))>
#<alt (* x (+ (* 4 (/ 1 y)) (* 4 (/ 1 x))))>
#<alt (/ 4 y)>
#<alt (/ 4 y)>
#<alt (/ 4 y)>
#<alt (/ 4 y)>
#<alt (/ 4 y)>
#<alt (/ 4 y)>
#<alt (/ 4 y)>
#<alt (/ 4 y)>
#<alt (/ 4 y)>
#<alt (/ 4 y)>
#<alt (/ 4 y)>
#<alt (/ 4 y)>
Calls

18 calls:

TimeVariablePointExpression
0.0ms
x
@inf
(/ (* 4 x) y)
0.0ms
x
@-inf
(/ (* 4 x) y)
0.0ms
x
@inf
(* 4 x)
0.0ms
x
@-inf
(* 4 x)
0.0ms
x
@0
(* 4 x)

rewrite611.0ms (9.1%)

Memory
1.0MiB live, 561.6MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
4 170×accelerator-lowering-fma.f32
4 170×accelerator-lowering-fma.f64
4 046×*-lowering-*.f32
4 046×*-lowering-*.f64
3 050×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0818
14218
230118
3532218
0899617
Stop Event
1×iter limit
1×node limit
Counts
4 → 198
Calls
Call 1
Inputs
(/ (* 4 x) y)
(* 4 x)
(+ (* (/ 4 y) x) 4)
(/ 4 y)
Outputs
(exp.f64 (log.f64 (/.f64 x (*.f64 y #s(literal 1/4 binary64)))))
(exp.f64 (*.f64 (log.f64 (/.f64 x (*.f64 y #s(literal 1/4 binary64)))) #s(literal 1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 x (*.f64 y #s(literal -1/4 binary64))))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) y)) (/.f64 x (*.f64 y #s(literal -1/4 binary64))))
(neg.f64 (/.f64 x (*.f64 y #s(literal -1/4 binary64))))
(neg.f64 (*.f64 (/.f64 #s(literal -4 binary64) y) x))
(neg.f64 (*.f64 (/.f64 x (*.f64 y #s(literal -1/4 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 4 binary64) (/.f64 y x))
(/.f64 x (*.f64 y #s(literal 1/4 binary64)))
(/.f64 (*.f64 #s(literal 4 binary64) x) y)
(/.f64 (*.f64 x #s(literal -4 binary64)) (-.f64 #s(literal 0 binary64) y))
(/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 #s(literal 4 binary64) x)))
(/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1/4 binary64) x))
(/.f64 (/.f64 x y) #s(literal 1/4 binary64))
(/.f64 #s(literal -1 binary64) (/.f64 y (*.f64 x #s(literal -4 binary64))))
(/.f64 (-.f64 #s(literal 0 binary64) x) (*.f64 y #s(literal -1/4 binary64)))
(/.f64 (*.f64 x #s(literal -1 binary64)) (*.f64 y #s(literal -1/4 binary64)))
(/.f64 (/.f64 (*.f64 x #s(literal -4 binary64)) #s(literal -1 binary64)) y)
(/.f64 (exp.f64 (log.f64 (*.f64 #s(literal 4 binary64) x))) y)
(/.f64 (exp.f64 (log.f64 x)) (*.f64 y #s(literal 1/4 binary64)))
(/.f64 (exp.f64 (log.f64 (*.f64 x #s(literal -4 binary64)))) (exp.f64 (log.f64 (-.f64 #s(literal 0 binary64) y))))
(/.f64 (exp.f64 (log.f64 #s(literal -1 binary64))) (exp.f64 (log.f64 (/.f64 y (*.f64 x #s(literal -4 binary64))))))
(pow.f64 (/.f64 x (*.f64 y #s(literal 1/4 binary64))) #s(literal 1 binary64))
(pow.f64 (/.f64 y (*.f64 #s(literal 4 binary64) x)) #s(literal -1 binary64))
(pow.f64 (/.f64 (*.f64 y y) (*.f64 #s(literal 16 binary64) (*.f64 x x))) #s(literal -1/2 binary64))
(pow.f64 (pow.f64 (/.f64 x (*.f64 y #s(literal 1/4 binary64))) #s(literal 1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 (/.f64 y (*.f64 #s(literal 4 binary64) x))))
(*.f64 #s(literal 4 binary64) (/.f64 x y))
(*.f64 #s(literal 4 binary64) (*.f64 (/.f64 x y) #s(literal 1 binary64)))
(*.f64 x (/.f64 #s(literal 4 binary64) y))
(*.f64 (*.f64 #s(literal 4 binary64) x) (/.f64 #s(literal 1 binary64) y))
(*.f64 (/.f64 #s(literal 4 binary64) y) x)
(*.f64 (/.f64 #s(literal 4 binary64) y) (exp.f64 (log.f64 x)))
(*.f64 (/.f64 x (*.f64 y #s(literal 1/4 binary64))) #s(literal 1 binary64))
(*.f64 (*.f64 x #s(literal -4 binary64)) (/.f64 #s(literal -1 binary64) y))
(*.f64 (*.f64 x #s(literal -4 binary64)) (*.f64 (/.f64 #s(literal -1 binary64) y) #s(literal 1 binary64)))
(*.f64 #s(literal -4 binary64) (/.f64 (-.f64 #s(literal 0 binary64) x) y))
(*.f64 #s(literal -4 binary64) (/.f64 x (-.f64 #s(literal 0 binary64) y)))
(*.f64 #s(literal -4 binary64) (*.f64 (/.f64 #s(literal -1 binary64) y) x))
(*.f64 #s(literal -4 binary64) (*.f64 x (/.f64 #s(literal -1 binary64) y)))
(*.f64 #s(literal 1 binary64) (/.f64 x (*.f64 y #s(literal 1/4 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 #s(literal 4 binary64) x))
(*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/4 binary64) x)))
(*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 x #s(literal 1/4 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) y) (exp.f64 (log.f64 (*.f64 #s(literal 4 binary64) x))))
(*.f64 (/.f64 x y) #s(literal 4 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 x (*.f64 y #s(literal -1/4 binary64))))
(*.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 #s(literal -4 binary64) y))
(*.f64 (-.f64 #s(literal 0 binary64) x) (*.f64 #s(literal 4 binary64) (/.f64 #s(literal -1 binary64) y)))
(*.f64 (/.f64 #s(literal -1 binary64) y) (*.f64 x #s(literal -4 binary64)))
(*.f64 (/.f64 x #s(literal -1 binary64)) (/.f64 #s(literal -4 binary64) y))
(*.f64 (/.f64 (-.f64 #s(literal 0 binary64) x) #s(literal -1 binary64)) (/.f64 #s(literal 4 binary64) y))
(*.f64 (pow.f64 (/.f64 x (*.f64 y #s(literal 1/4 binary64))) #s(literal 1/2 binary64)) (pow.f64 (/.f64 x (*.f64 y #s(literal 1/4 binary64))) #s(literal 1/2 binary64)))
(*.f64 (/.f64 x (-.f64 #s(literal 0 binary64) y)) #s(literal -4 binary64))
(*.f64 (/.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 4 binary64) y))
(*.f64 (exp.f64 (log.f64 (*.f64 #s(literal 4 binary64) x))) (/.f64 #s(literal 1 binary64) y))
(*.f64 (exp.f64 (log.f64 x)) (/.f64 #s(literal 4 binary64) y))
(*.f64 (exp.f64 (log.f64 (/.f64 x y))) (exp.f64 (log.f64 #s(literal 4 binary64))))
(*.f64 (exp.f64 (log.f64 (*.f64 x #s(literal -4 binary64)))) (exp.f64 (-.f64 #s(literal 0 binary64) (log.f64 (-.f64 #s(literal 0 binary64) y)))))
(*.f64 (exp.f64 (log.f64 #s(literal 4 binary64))) (exp.f64 (log.f64 (/.f64 x y))))
(-.f64 #s(literal 0 binary64) (*.f64 x #s(literal -4 binary64)))
(neg.f64 (*.f64 x #s(literal -4 binary64)))
(*.f64 #s(literal 4 binary64) x)
(*.f64 #s(literal 4 binary64) (neg.f64 (-.f64 #s(literal 0 binary64) x)))
(*.f64 x #s(literal 4 binary64))
(*.f64 (*.f64 #s(literal 4 binary64) x) #s(literal 1 binary64))
(*.f64 #s(literal -4 binary64) (-.f64 #s(literal 0 binary64) x))
(*.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) x))
(*.f64 #s(literal -1 binary64) (*.f64 x #s(literal -4 binary64)))
(*.f64 (-.f64 #s(literal 0 binary64) x) #s(literal -4 binary64))
(*.f64 (neg.f64 (-.f64 #s(literal 0 binary64) x)) #s(literal 4 binary64))
(+.f64 #s(literal 4 binary64) (/.f64 x (*.f64 y #s(literal 1/4 binary64))))
(+.f64 (/.f64 x (*.f64 y #s(literal 1/4 binary64))) #s(literal 4 binary64))
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(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 #s(literal 16 binary64) (*.f64 x x)) (*.f64 (fma.f64 #s(literal 4 binary64) (/.f64 x y) #s(literal -4 binary64)) (*.f64 y y))) #s(literal 3 binary64)) (*.f64 (*.f64 (/.f64 #s(literal 16 binary64) (fma.f64 #s(literal 4 binary64) (/.f64 x y) #s(literal -4 binary64))) (/.f64 #s(literal 16 binary64) (fma.f64 #s(literal 4 binary64) (/.f64 x y) #s(literal -4 binary64)))) (/.f64 #s(literal 16 binary64) (fma.f64 #s(literal 4 binary64) (/.f64 x y) #s(literal -4 binary64))))) (fma.f64 (/.f64 (*.f64 #s(literal 16 binary64) (*.f64 x x)) (*.f64 (fma.f64 #s(literal 4 binary64) (/.f64 x y) #s(literal -4 binary64)) (*.f64 y y))) (/.f64 (*.f64 #s(literal 16 binary64) (*.f64 x x)) (*.f64 (fma.f64 #s(literal 4 binary64) (/.f64 x y) #s(literal -4 binary64)) (*.f64 y y))) (fma.f64 (/.f64 #s(literal 16 binary64) (fma.f64 #s(literal 4 binary64) (/.f64 x y) #s(literal -4 binary64))) (/.f64 #s(literal 16 binary64) (fma.f64 #s(literal 4 binary64) (/.f64 x y) #s(literal -4 binary64))) (*.f64 (/.f64 (*.f64 #s(literal 16 binary64) (*.f64 x x)) (*.f64 (fma.f64 #s(literal 4 binary64) (/.f64 x y) #s(literal -4 binary64)) (*.f64 y y))) (/.f64 #s(literal 16 binary64) (fma.f64 #s(literal 4 binary64) (/.f64 x y) #s(literal -4 binary64)))))))
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 #s(literal 16 binary64) (*.f64 x x)) (*.f64 (fma.f64 #s(literal 4 binary64) (/.f64 x y) #s(literal -4 binary64)) (*.f64 y y))) (/.f64 (*.f64 #s(literal 16 binary64) (*.f64 x x)) (*.f64 (fma.f64 #s(literal 4 binary64) (/.f64 x y) #s(literal -4 binary64)) (*.f64 y y)))) (*.f64 (/.f64 #s(literal 16 binary64) (fma.f64 #s(literal 4 binary64) (/.f64 x y) #s(literal -4 binary64))) (/.f64 #s(literal 16 binary64) (fma.f64 #s(literal 4 binary64) (/.f64 x y) #s(literal -4 binary64))))) (+.f64 (/.f64 (*.f64 #s(literal 16 binary64) (*.f64 x x)) (*.f64 (fma.f64 #s(literal 4 binary64) (/.f64 x y) #s(literal -4 binary64)) (*.f64 y y))) (/.f64 #s(literal 16 binary64) (fma.f64 #s(literal 4 binary64) (/.f64 x y) #s(literal -4 binary64)))))
(/.f64 (*.f64 (fma.f64 #s(literal 64 binary64) (/.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y))) #s(literal 64 binary64)) #s(literal 1 binary64)) (fma.f64 (/.f64 x (*.f64 y #s(literal 1/4 binary64))) (fma.f64 #s(literal 4 binary64) (/.f64 x y) #s(literal -4 binary64)) #s(literal 16 binary64)))
(/.f64 (*.f64 (fma.f64 (*.f64 x x) (/.f64 #s(literal 16 binary64) (*.f64 y y)) #s(literal -16 binary64)) #s(literal 1 binary64)) (fma.f64 #s(literal 4 binary64) (/.f64 x y) #s(literal -4 binary64)))
(/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))) (/.f64 #s(literal 262144 binary64) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y))))) #s(literal 262144 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 x (*.f64 y #s(literal 1/4 binary64))) (fma.f64 #s(literal 4 binary64) (/.f64 x y) #s(literal -4 binary64)) #s(literal 16 binary64)))) (-.f64 (fma.f64 #s(literal 4096 binary64) (/.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y)))) #s(literal 4096 binary64)) (/.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 4096 binary64)) (*.f64 y (*.f64 y y)))))
(/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (/.f64 #s(literal 4096 binary64) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y)))) #s(literal -4096 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 x (*.f64 y #s(literal 1/4 binary64))) (fma.f64 #s(literal 4 binary64) (/.f64 x y) #s(literal -4 binary64)) #s(literal 16 binary64)))) (fma.f64 #s(literal 64 binary64) (/.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y))) #s(literal -64 binary64)))
(/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (/.f64 #s(literal 4096 binary64) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y)))) #s(literal -4096 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4 binary64) (/.f64 x y) #s(literal -4 binary64)))) (+.f64 (/.f64 (*.f64 (*.f64 #s(literal 16 binary64) (*.f64 x x)) (*.f64 #s(literal 16 binary64) (*.f64 x x))) (*.f64 (*.f64 y y) (*.f64 y y))) (fma.f64 (*.f64 #s(literal 16 binary64) (*.f64 x x)) (/.f64 #s(literal 16 binary64) (*.f64 y y)) #s(literal 256 binary64))))
(/.f64 (*.f64 (+.f64 (/.f64 (*.f64 (*.f64 #s(literal 16 binary64) (*.f64 x x)) (*.f64 #s(literal 16 binary64) (*.f64 x x))) (*.f64 (*.f64 y y) (*.f64 y y))) #s(literal -256 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4 binary64) (/.f64 x y) #s(literal -4 binary64)))) (fma.f64 x (/.f64 (*.f64 x #s(literal 16 binary64)) (*.f64 y y)) #s(literal 16 binary64)))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4 binary64) (/.f64 x y) #s(literal 4 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4 binary64) (/.f64 x y) #s(literal 4 binary64))) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 (+.f64 #s(literal 4 binary64) (/.f64 x (*.f64 y #s(literal -1/4 binary64)))) (+.f64 #s(literal 16 binary64) (*.f64 #s(literal -16 binary64) (/.f64 (*.f64 x x) (*.f64 y y))))) #s(literal -1 binary64))
(*.f64 (fma.f64 #s(literal 64 binary64) (/.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y))) #s(literal 64 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 x (*.f64 y #s(literal 1/4 binary64))) (fma.f64 #s(literal 4 binary64) (/.f64 x y) #s(literal -4 binary64)) #s(literal 16 binary64))))
(*.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4 binary64) (/.f64 x y) #s(literal 4 binary64)))
(*.f64 (fma.f64 (*.f64 x x) (/.f64 #s(literal 16 binary64) (*.f64 y y)) #s(literal -16 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4 binary64) (/.f64 x y) #s(literal -4 binary64))))
(*.f64 (-.f64 #s(literal 0 binary64) (fma.f64 (*.f64 x x) (/.f64 #s(literal 16 binary64) (*.f64 y y)) #s(literal -16 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (/.f64 #s(literal -4 binary64) y) #s(literal 4 binary64))))
(*.f64 (fma.f64 #s(literal 64 binary64) (/.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y))) #s(literal -64 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (fma.f64 (/.f64 x (*.f64 y #s(literal 1/4 binary64))) (fma.f64 #s(literal 4 binary64) (/.f64 x y) #s(literal -4 binary64)) #s(literal 16 binary64)))))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 x (*.f64 y #s(literal 1/4 binary64))) (fma.f64 #s(literal 4 binary64) (/.f64 x y) #s(literal -4 binary64)) #s(literal 16 binary64))) (fma.f64 #s(literal 64 binary64) (/.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y))) #s(literal 64 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4 binary64) (/.f64 x y) #s(literal -4 binary64))) (fma.f64 (*.f64 x x) (/.f64 #s(literal 16 binary64) (*.f64 y y)) #s(literal -16 binary64)))
(*.f64 (+.f64 #s(literal 16 binary64) (*.f64 #s(literal -16 binary64) (/.f64 (*.f64 x x) (*.f64 y y)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 4 binary64) (/.f64 x (*.f64 y #s(literal -1/4 binary64))))))
(*.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) #s(literal 4 binary64))
(*.f64 (/.f64 (fma.f64 (*.f64 x x) (/.f64 #s(literal 16 binary64) (*.f64 y y)) #s(literal -16 binary64)) (fma.f64 (*.f64 x x) (/.f64 #s(literal 16 binary64) (*.f64 y y)) #s(literal -16 binary64))) (fma.f64 #s(literal 4 binary64) (/.f64 x y) #s(literal 4 binary64)))
(*.f64 (/.f64 (fma.f64 #s(literal 64 binary64) (/.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y))) #s(literal 64 binary64)) (fma.f64 (-.f64 #s(literal 16 binary64) (*.f64 #s(literal 16 binary64) (/.f64 x y))) (*.f64 (-.f64 #s(literal 16 binary64) (*.f64 #s(literal 16 binary64) (/.f64 x y))) (-.f64 #s(literal 16 binary64) (*.f64 #s(literal 16 binary64) (/.f64 x y)))) (/.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 4096 binary64))) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y)))))) (fma.f64 (-.f64 #s(literal 16 binary64) (*.f64 #s(literal 16 binary64) (/.f64 x y))) (-.f64 (-.f64 #s(literal 16 binary64) (*.f64 #s(literal 16 binary64) (/.f64 x y))) (/.f64 (*.f64 #s(literal 16 binary64) (*.f64 x x)) (*.f64 y y))) (/.f64 (*.f64 (*.f64 #s(literal 16 binary64) (*.f64 x x)) (*.f64 #s(literal 16 binary64) (*.f64 x x))) (*.f64 (*.f64 y y) (*.f64 y y)))))
(*.f64 (/.f64 (fma.f64 #s(literal 64 binary64) (/.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y))) #s(literal 64 binary64)) (*.f64 (fma.f64 (/.f64 x (*.f64 y #s(literal 1/4 binary64))) (fma.f64 #s(literal 4 binary64) (/.f64 x y) #s(literal -4 binary64)) #s(literal 16 binary64)) (+.f64 (fma.f64 (*.f64 x x) (/.f64 #s(literal 16 binary64) (*.f64 y y)) #s(literal -16 binary64)) (*.f64 #s(literal 16 binary64) (/.f64 x y))))) (+.f64 (fma.f64 (*.f64 x x) (/.f64 #s(literal 16 binary64) (*.f64 y y)) #s(literal -16 binary64)) (*.f64 #s(literal 16 binary64) (/.f64 x y))))
(*.f64 (/.f64 (fma.f64 (*.f64 x x) (/.f64 #s(literal 16 binary64) (*.f64 y y)) #s(literal -16 binary64)) (fma.f64 #s(literal 64 binary64) (/.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y))) #s(literal -64 binary64))) (fma.f64 x (/.f64 (*.f64 x #s(literal 16 binary64)) (*.f64 y y)) (fma.f64 #s(literal 16 binary64) (/.f64 x y) #s(literal 16 binary64))))
(exp.f64 (-.f64 #s(literal 0 binary64) (log.f64 (*.f64 y #s(literal 1/4 binary64)))))
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal -4 binary64) y))
(neg.f64 (/.f64 #s(literal -4 binary64) y))
(neg.f64 (*.f64 #s(literal 1 binary64) (/.f64 #s(literal -4 binary64) y)))
(neg.f64 (/.f64 #s(literal -1 binary64) (*.f64 y #s(literal 1/4 binary64))))
(/.f64 #s(literal 4 binary64) y)
(/.f64 #s(literal -4 binary64) (-.f64 #s(literal 0 binary64) y))
(/.f64 #s(literal 1 binary64) (*.f64 y #s(literal 1/4 binary64)))
(/.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1/4 binary64))
(/.f64 #s(literal -1 binary64) (*.f64 y #s(literal -1/4 binary64)))
(pow.f64 (/.f64 #s(literal 4 binary64) y) #s(literal 1 binary64))
(pow.f64 (*.f64 y #s(literal 1/4 binary64)) #s(literal -1 binary64))
(pow.f64 (*.f64 (*.f64 y #s(literal 1/4 binary64)) (*.f64 y #s(literal 1/4 binary64))) #s(literal -1/2 binary64))
(pow.f64 (pow.f64 (*.f64 y #s(literal 1/4 binary64)) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(*.f64 #s(literal 4 binary64) (/.f64 #s(literal 1 binary64) y))
(*.f64 (/.f64 #s(literal 4 binary64) y) #s(literal 1 binary64))
(*.f64 #s(literal -4 binary64) (/.f64 #s(literal -1 binary64) y))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) y))
(*.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 4 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -4 binary64) y))
(*.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -4 binary64))
(*.f64 (pow.f64 (*.f64 y #s(literal 1/4 binary64)) #s(literal -1/2 binary64)) (pow.f64 (*.f64 y #s(literal 1/4 binary64)) #s(literal -1/2 binary64)))

simplify22.0ms (0.3%)

Memory
-0.8MiB live, 38.6MiB allocated
Algorithm
1×egg-herbie
Rules
132×*-lowering-*.f32
132×*-lowering-*.f64
72×accelerator-lowering-fma.f32
72×accelerator-lowering-fma.f64
66×associate-*r*
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
020336
147336
279336
3114336
4121336
5169336
6200336
7229336
8229336
9255336
10260336
11260336
0260318
Stop Event
1×iter limit
1×saturated
Counts
72 → 72
Calls
Call 1
Inputs
(* 4 (/ x y))
(* 4 (/ x y))
(* 4 (/ x y))
(* 4 (/ x y))
(* 4 (/ x y))
(* 4 (/ x y))
(* 4 (/ x y))
(* 4 (/ x y))
(* 4 (/ x y))
(* 4 (/ x y))
(* 4 (/ x y))
(* 4 (/ x y))
(* 4 (/ x y))
(* 4 (/ x y))
(* 4 (/ x y))
(* 4 (/ x y))
(* 4 (/ x y))
(* 4 (/ x y))
(* 4 (/ x y))
(* 4 (/ x y))
(* 4 (/ x y))
(* 4 (/ x y))
(* 4 (/ x y))
(* 4 (/ x y))
(* 4 x)
(* 4 x)
(* 4 x)
(* 4 x)
(* 4 x)
(* 4 x)
(* 4 x)
(* 4 x)
(* 4 x)
(* 4 x)
(* 4 x)
(* 4 x)
(* 4 (/ x y))
(/ (+ (* 4 x) (* 4 y)) y)
(/ (+ (* 4 x) (* 4 y)) y)
(/ (+ (* 4 x) (* 4 y)) y)
4
(+ 4 (* 4 (/ x y)))
(+ 4 (* 4 (/ x y)))
(+ 4 (* 4 (/ x y)))
4
(+ 4 (* 4 (/ x y)))
(+ 4 (* 4 (/ x y)))
(+ 4 (* 4 (/ x y)))
4
(+ 4 (* 4 (/ x y)))
(+ 4 (* 4 (/ x y)))
(+ 4 (* 4 (/ x y)))
(* 4 (/ x y))
(* x (+ (* 4 (/ 1 x)) (* 4 (/ 1 y))))
(* x (+ (* 4 (/ 1 x)) (* 4 (/ 1 y))))
(* x (+ (* 4 (/ 1 x)) (* 4 (/ 1 y))))
(* 4 (/ x y))
(* x (+ (* 4 (/ 1 y)) (* 4 (/ 1 x))))
(* x (+ (* 4 (/ 1 y)) (* 4 (/ 1 x))))
(* x (+ (* 4 (/ 1 y)) (* 4 (/ 1 x))))
(/ 4 y)
(/ 4 y)
(/ 4 y)
(/ 4 y)
(/ 4 y)
(/ 4 y)
(/ 4 y)
(/ 4 y)
(/ 4 y)
(/ 4 y)
(/ 4 y)
(/ 4 y)
Outputs
(* 4 (/ x y))
(/.f64 (*.f64 #s(literal 4 binary64) x) y)
(* 4 (/ x y))
(/.f64 (*.f64 #s(literal 4 binary64) x) y)
(* 4 (/ x y))
(/.f64 (*.f64 #s(literal 4 binary64) x) y)
(* 4 (/ x y))
(/.f64 (*.f64 #s(literal 4 binary64) x) y)
(* 4 (/ x y))
(/.f64 (*.f64 #s(literal 4 binary64) x) y)
(* 4 (/ x y))
(/.f64 (*.f64 #s(literal 4 binary64) x) y)
(* 4 (/ x y))
(/.f64 (*.f64 #s(literal 4 binary64) x) y)
(* 4 (/ x y))
(/.f64 (*.f64 #s(literal 4 binary64) x) y)
(* 4 (/ x y))
(/.f64 (*.f64 #s(literal 4 binary64) x) y)
(* 4 (/ x y))
(/.f64 (*.f64 #s(literal 4 binary64) x) y)
(* 4 (/ x y))
(/.f64 (*.f64 #s(literal 4 binary64) x) y)
(* 4 (/ x y))
(/.f64 (*.f64 #s(literal 4 binary64) x) y)
(* 4 (/ x y))
(/.f64 (*.f64 #s(literal 4 binary64) x) y)
(* 4 (/ x y))
(/.f64 (*.f64 #s(literal 4 binary64) x) y)
(* 4 (/ x y))
(/.f64 (*.f64 #s(literal 4 binary64) x) y)
(* 4 (/ x y))
(/.f64 (*.f64 #s(literal 4 binary64) x) y)
(* 4 (/ x y))
(/.f64 (*.f64 #s(literal 4 binary64) x) y)
(* 4 (/ x y))
(/.f64 (*.f64 #s(literal 4 binary64) x) y)
(* 4 (/ x y))
(/.f64 (*.f64 #s(literal 4 binary64) x) y)
(* 4 (/ x y))
(/.f64 (*.f64 #s(literal 4 binary64) x) y)
(* 4 (/ x y))
(/.f64 (*.f64 #s(literal 4 binary64) x) y)
(* 4 (/ x y))
(/.f64 (*.f64 #s(literal 4 binary64) x) y)
(* 4 (/ x y))
(/.f64 (*.f64 #s(literal 4 binary64) x) y)
(* 4 (/ x y))
(/.f64 (*.f64 #s(literal 4 binary64) x) y)
(* 4 x)
(*.f64 #s(literal 4 binary64) x)
(* 4 x)
(*.f64 #s(literal 4 binary64) x)
(* 4 x)
(*.f64 #s(literal 4 binary64) x)
(* 4 x)
(*.f64 #s(literal 4 binary64) x)
(* 4 x)
(*.f64 #s(literal 4 binary64) x)
(* 4 x)
(*.f64 #s(literal 4 binary64) x)
(* 4 x)
(*.f64 #s(literal 4 binary64) x)
(* 4 x)
(*.f64 #s(literal 4 binary64) x)
(* 4 x)
(*.f64 #s(literal 4 binary64) x)
(* 4 x)
(*.f64 #s(literal 4 binary64) x)
(* 4 x)
(*.f64 #s(literal 4 binary64) x)
(* 4 x)
(*.f64 #s(literal 4 binary64) x)
(* 4 (/ x y))
(/.f64 (*.f64 #s(literal 4 binary64) x) y)
(/ (+ (* 4 x) (* 4 y)) y)
(fma.f64 #s(literal 4 binary64) (/.f64 x y) #s(literal 4 binary64))
(/ (+ (* 4 x) (* 4 y)) y)
(fma.f64 #s(literal 4 binary64) (/.f64 x y) #s(literal 4 binary64))
(/ (+ (* 4 x) (* 4 y)) y)
(fma.f64 #s(literal 4 binary64) (/.f64 x y) #s(literal 4 binary64))
4
#s(literal 4 binary64)
(+ 4 (* 4 (/ x y)))
(fma.f64 #s(literal 4 binary64) (/.f64 x y) #s(literal 4 binary64))
(+ 4 (* 4 (/ x y)))
(fma.f64 #s(literal 4 binary64) (/.f64 x y) #s(literal 4 binary64))
(+ 4 (* 4 (/ x y)))
(fma.f64 #s(literal 4 binary64) (/.f64 x y) #s(literal 4 binary64))
4
#s(literal 4 binary64)
(+ 4 (* 4 (/ x y)))
(fma.f64 #s(literal 4 binary64) (/.f64 x y) #s(literal 4 binary64))
(+ 4 (* 4 (/ x y)))
(fma.f64 #s(literal 4 binary64) (/.f64 x y) #s(literal 4 binary64))
(+ 4 (* 4 (/ x y)))
(fma.f64 #s(literal 4 binary64) (/.f64 x y) #s(literal 4 binary64))
4
#s(literal 4 binary64)
(+ 4 (* 4 (/ x y)))
(fma.f64 #s(literal 4 binary64) (/.f64 x y) #s(literal 4 binary64))
(+ 4 (* 4 (/ x y)))
(fma.f64 #s(literal 4 binary64) (/.f64 x y) #s(literal 4 binary64))
(+ 4 (* 4 (/ x y)))
(fma.f64 #s(literal 4 binary64) (/.f64 x y) #s(literal 4 binary64))
(* 4 (/ x y))
(/.f64 (*.f64 #s(literal 4 binary64) x) y)
(* x (+ (* 4 (/ 1 x)) (* 4 (/ 1 y))))
(fma.f64 #s(literal 4 binary64) (/.f64 x y) #s(literal 4 binary64))
(* x (+ (* 4 (/ 1 x)) (* 4 (/ 1 y))))
(fma.f64 #s(literal 4 binary64) (/.f64 x y) #s(literal 4 binary64))
(* x (+ (* 4 (/ 1 x)) (* 4 (/ 1 y))))
(fma.f64 #s(literal 4 binary64) (/.f64 x y) #s(literal 4 binary64))
(* 4 (/ x y))
(/.f64 (*.f64 #s(literal 4 binary64) x) y)
(* x (+ (* 4 (/ 1 y)) (* 4 (/ 1 x))))
(fma.f64 #s(literal 4 binary64) (/.f64 x y) #s(literal 4 binary64))
(* x (+ (* 4 (/ 1 y)) (* 4 (/ 1 x))))
(fma.f64 #s(literal 4 binary64) (/.f64 x y) #s(literal 4 binary64))
(* x (+ (* 4 (/ 1 y)) (* 4 (/ 1 x))))
(fma.f64 #s(literal 4 binary64) (/.f64 x y) #s(literal 4 binary64))
(/ 4 y)
(/.f64 #s(literal 4 binary64) y)
(/ 4 y)
(/.f64 #s(literal 4 binary64) y)
(/ 4 y)
(/.f64 #s(literal 4 binary64) y)
(/ 4 y)
(/.f64 #s(literal 4 binary64) y)
(/ 4 y)
(/.f64 #s(literal 4 binary64) y)
(/ 4 y)
(/.f64 #s(literal 4 binary64) y)
(/ 4 y)
(/.f64 #s(literal 4 binary64) y)
(/ 4 y)
(/.f64 #s(literal 4 binary64) y)
(/ 4 y)
(/.f64 #s(literal 4 binary64) y)
(/ 4 y)
(/.f64 #s(literal 4 binary64) y)
(/ 4 y)
(/.f64 #s(literal 4 binary64) y)
(/ 4 y)
(/.f64 #s(literal 4 binary64) y)

eval79.0ms (1.2%)

Memory
-3.4MiB live, 71.7MiB allocated
Compiler

Compiled 3 816 to 452 computations (88.2% saved)

prune30.0ms (0.5%)

Memory
31.6MiB live, 73.2MiB allocated
Pruning

6 alts after pruning (1 fresh and 5 done)

PrunedKeptTotal
New2691270
Fresh000
Picked112
Done044
Total2706276
Accuracy
100.0%
Counts
276 → 6
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓64.0%
(fma.f64 (/.f64 z y) #s(literal -4 binary64) #s(literal 4 binary64))
✓70.2%
(fma.f64 #s(literal 4 binary64) (/.f64 x y) #s(literal 4 binary64))
✓68.5%
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 x z)) y)
✓39.1%
(/.f64 (*.f64 #s(literal 4 binary64) x) y)
▶39.0%
(*.f64 (/.f64 #s(literal 4 binary64) y) x)
✓33.1%
#s(literal 4 binary64)
Compiler

Compiled 48 to 36 computations (25% saved)

simplify5.0ms (0.1%)

Memory
-33.3MiB live, 5.4MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 2 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(/.f64 #s(literal 4 binary64) y)
✓cost-diff0
(*.f64 (/.f64 #s(literal 4 binary64) y) x)
Rules
12×*-lowering-*.f32
12×*-lowering-*.f64
6×*-commutative
6×/-lowering-/.f32
6×/-lowering-/.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0511
1811
21211
31311
01311
Stop Event
1×iter limit
1×saturated
Calls
Call 1
Inputs
(* (/ 4 y) x)
(/ 4 y)
4
y
x
Outputs
(* (/ 4 y) x)
(*.f64 #s(literal 4 binary64) (/.f64 x y))
(/ 4 y)
(/.f64 #s(literal 4 binary64) y)
4
#s(literal 4 binary64)
y
x

localize17.0ms (0.3%)

Memory
4.8MiB live, 43.3MiB allocated
Localize:

Found 2 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(/.f64 #s(literal 4 binary64) y)
✓accuracy99.7%
(*.f64 (/.f64 #s(literal 4 binary64) y) x)
Samples
12.0ms256×0valid
Compiler

Compiled 13 to 8 computations (38.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 5.0ms
ival-div: 2.0ms (44.2% of total)
ival-mult: 2.0ms (44.2% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series0.0ms (0%)

Memory
1.4MiB live, 1.4MiB allocated
Counts
2 → 36
Calls
Call 1
Inputs
#<alt (* (/ 4 y) x)>
#<alt (/ 4 y)>
Outputs
#<alt (* 4 (/ x y))>
#<alt (* 4 (/ x y))>
#<alt (* 4 (/ x y))>
#<alt (* 4 (/ x y))>
#<alt (* 4 (/ x y))>
#<alt (* 4 (/ x y))>
#<alt (* 4 (/ x y))>
#<alt (* 4 (/ x y))>
#<alt (* 4 (/ x y))>
#<alt (* 4 (/ x y))>
#<alt (* 4 (/ x y))>
#<alt (* 4 (/ x y))>
#<alt (* 4 (/ x y))>
#<alt (* 4 (/ x y))>
#<alt (* 4 (/ x y))>
#<alt (* 4 (/ x y))>
#<alt (* 4 (/ x y))>
#<alt (* 4 (/ x y))>
#<alt (* 4 (/ x y))>
#<alt (* 4 (/ x y))>
#<alt (* 4 (/ x y))>
#<alt (* 4 (/ x y))>
#<alt (* 4 (/ x y))>
#<alt (* 4 (/ x y))>
#<alt (/ 4 y)>
#<alt (/ 4 y)>
#<alt (/ 4 y)>
#<alt (/ 4 y)>
#<alt (/ 4 y)>
#<alt (/ 4 y)>
#<alt (/ 4 y)>
#<alt (/ 4 y)>
#<alt (/ 4 y)>
#<alt (/ 4 y)>
#<alt (/ 4 y)>
#<alt (/ 4 y)>
Calls

9 calls:

TimeVariablePointExpression
0.0ms
y
@0
(* (/ 4 y) x)
0.0ms
y
@-inf
(* (/ 4 y) x)
0.0ms
y
@inf
(* (/ 4 y) x)
0.0ms
x
@-inf
(* (/ 4 y) x)
0.0ms
x
@inf
(* (/ 4 y) x)

rewrite288.0ms (4.3%)

Memory
6.5MiB live, 680.4MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
3 266×accelerator-lowering-fma.f32
3 266×accelerator-lowering-fma.f64
2 116×*-lowering-*.f32
2 116×*-lowering-*.f64
2 036×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
058
1178
2698
32768
411328
566768
084338
Stop Event
1×iter limit
1×node limit
Counts
2 → 843
Calls
Call 1
Inputs
(* (/ 4 y) x)
(/ 4 y)
Outputs
(+.f64 #s(literal 0 binary64) (/.f64 x (fma.f64 y #s(literal 1/4 binary64) #s(literal 0 binary64))))
(+.f64 (/.f64 x (fma.f64 y #s(literal 1/4 binary64) #s(literal 0 binary64))) (*.f64 (/.f64 (fma.f64 #s(literal 4 binary64) x #s(literal 0 binary64)) (fma.f64 y (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64))) #s(literal 0 binary64)))
(+.f64 (/.f64 x (fma.f64 y #s(literal 1/4 binary64) #s(literal 0 binary64))) (*.f64 (*.f64 x (/.f64 #s(literal 4 binary64) (fma.f64 y y #s(literal 0 binary64)))) #s(literal 0 binary64)))
(+.f64 (/.f64 x (fma.f64 y #s(literal 1/4 binary64) #s(literal 0 binary64))) (*.f64 #s(literal 0 binary64) (/.f64 (fma.f64 #s(literal 4 binary64) x #s(literal 0 binary64)) (fma.f64 y (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64)))))
(+.f64 (/.f64 x (fma.f64 y #s(literal 1/4 binary64) #s(literal 0 binary64))) (*.f64 #s(literal 0 binary64) (*.f64 x (/.f64 #s(literal 4 binary64) (fma.f64 y y #s(literal 0 binary64))))))
(+.f64 (*.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) x)) (/.f64 x (fma.f64 y #s(literal 1/4 binary64) #s(literal 0 binary64))))
(+.f64 (*.f64 #s(literal 0 binary64) x) (/.f64 x (fma.f64 y #s(literal 1/4 binary64) #s(literal 0 binary64))))
(+.f64 (*.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 0 binary64)) (/.f64 x (fma.f64 y #s(literal 1/4 binary64) #s(literal 0 binary64))))
(+.f64 (*.f64 (/.f64 (fma.f64 #s(literal 4 binary64) x #s(literal 0 binary64)) (fma.f64 y (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64))) #s(literal 0 binary64)) (/.f64 x (fma.f64 y #s(literal 1/4 binary64) #s(literal 0 binary64))))
(+.f64 (*.f64 x #s(literal 0 binary64)) (/.f64 x (fma.f64 y #s(literal 1/4 binary64) #s(literal 0 binary64))))
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 0 binary64)) (/.f64 x (fma.f64 y #s(literal 1/4 binary64) #s(literal 0 binary64))))
(+.f64 (*.f64 (*.f64 x (/.f64 #s(literal 4 binary64) (fma.f64 y y #s(literal 0 binary64)))) #s(literal 0 binary64)) (/.f64 x (fma.f64 y #s(literal 1/4 binary64) #s(literal 0 binary64))))
(+.f64 (*.f64 #s(literal 0 binary64) (/.f64 (fma.f64 #s(literal 4 binary64) x #s(literal 0 binary64)) (fma.f64 y (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64)))) (/.f64 x (fma.f64 y #s(literal 1/4 binary64) #s(literal 0 binary64))))
(+.f64 (*.f64 #s(literal 0 binary64) (*.f64 x (/.f64 #s(literal 4 binary64) (fma.f64 y y #s(literal 0 binary64))))) (/.f64 x (fma.f64 y #s(literal 1/4 binary64) #s(literal 0 binary64))))
(exp.f64 (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 (fma.f64 y #s(literal 1/4 binary64) #s(literal 0 binary64)) x))))
(-.f64 #s(literal 0 binary64) (/.f64 x (fma.f64 y #s(literal 1/4 binary64) #s(literal 0 binary64))))
(fma.f64 #s(literal 4 binary64) (/.f64 x y) (*.f64 (/.f64 (fma.f64 #s(literal 4 binary64) x #s(literal 0 binary64)) (fma.f64 y (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64))) #s(literal 0 binary64)))
(fma.f64 #s(literal 4 binary64) (/.f64 x y) (*.f64 (*.f64 x (/.f64 #s(literal 4 binary64) (fma.f64 y y #s(literal 0 binary64)))) #s(literal 0 binary64)))
(fma.f64 #s(literal 4 binary64) (/.f64 x y) (*.f64 #s(literal 0 binary64) (/.f64 (fma.f64 #s(literal 4 binary64) x #s(literal 0 binary64)) (fma.f64 y (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64)))))
(fma.f64 #s(literal 4 binary64) (/.f64 x y) (*.f64 #s(literal 0 binary64) (*.f64 x (/.f64 #s(literal 4 binary64) (fma.f64 y y #s(literal 0 binary64))))))
(fma.f64 y (*.f64 x (/.f64 #s(literal 4 binary64) (fma.f64 y y #s(literal 0 binary64)))) (*.f64 (/.f64 (fma.f64 #s(literal 4 binary64) x #s(literal 0 binary64)) (fma.f64 y (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64))) #s(literal 0 binary64)))
(fma.f64 y (*.f64 x (/.f64 #s(literal 4 binary64) (fma.f64 y y #s(literal 0 binary64)))) (*.f64 (*.f64 x (/.f64 #s(literal 4 binary64) (fma.f64 y y #s(literal 0 binary64)))) #s(literal 0 binary64)))
(fma.f64 y (*.f64 x (/.f64 #s(literal 4 binary64) (fma.f64 y y #s(literal 0 binary64)))) (*.f64 #s(literal 0 binary64) (/.f64 (fma.f64 #s(literal 4 binary64) x #s(literal 0 binary64)) (fma.f64 y (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64)))))
(fma.f64 y (*.f64 x (/.f64 #s(literal 4 binary64) (fma.f64 y y #s(literal 0 binary64)))) (*.f64 #s(literal 0 binary64) (*.f64 x (/.f64 #s(literal 4 binary64) (fma.f64 y y #s(literal 0 binary64))))))
(fma.f64 x #s(literal 0 binary64) (/.f64 x (fma.f64 y #s(literal 1/4 binary64) #s(literal 0 binary64))))
(fma.f64 x (/.f64 #s(literal 4 binary64) y) (*.f64 (/.f64 (fma.f64 #s(literal 4 binary64) x #s(literal 0 binary64)) (fma.f64 y (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64))) #s(literal 0 binary64)))
(fma.f64 x (/.f64 #s(literal 4 binary64) y) (*.f64 (*.f64 x (/.f64 #s(literal 4 binary64) (fma.f64 y y #s(literal 0 binary64)))) #s(literal 0 binary64)))
(fma.f64 x (/.f64 #s(literal 4 binary64) y) (*.f64 #s(literal 0 binary64) (/.f64 (fma.f64 #s(literal 4 binary64) x #s(literal 0 binary64)) (fma.f64 y (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64)))))
(fma.f64 x (/.f64 #s(literal 4 binary64) y) (*.f64 #s(literal 0 binary64) (*.f64 x (/.f64 #s(literal 4 binary64) (fma.f64 y y #s(literal 0 binary64))))))
(fma.f64 #s(literal -4 binary64) (/.f64 x y) (*.f64 (/.f64 (fma.f64 #s(literal 4 binary64) x #s(literal 0 binary64)) (fma.f64 y (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64))) #s(literal 0 binary64)))
(fma.f64 #s(literal -4 binary64) (/.f64 x y) (*.f64 (*.f64 x (/.f64 #s(literal 4 binary64) (fma.f64 y y #s(literal 0 binary64)))) #s(literal 0 binary64)))
(fma.f64 #s(literal -4 binary64) (/.f64 x y) (*.f64 #s(literal 0 binary64) (/.f64 (fma.f64 #s(literal 4 binary64) x #s(literal 0 binary64)) (fma.f64 y (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64)))))
(fma.f64 #s(literal -4 binary64) (/.f64 x y) (*.f64 #s(literal 0 binary64) (*.f64 x (/.f64 #s(literal 4 binary64) (fma.f64 y y #s(literal 0 binary64))))))
(fma.f64 #s(literal 1 binary64) (/.f64 x (fma.f64 y #s(literal 1/4 binary64) #s(literal 0 binary64))) (*.f64 (/.f64 (fma.f64 #s(literal 4 binary64) x #s(literal 0 binary64)) (fma.f64 y (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64))) #s(literal 0 binary64)))
(fma.f64 #s(literal 1 binary64) (/.f64 x (fma.f64 y #s(literal 1/4 binary64) #s(literal 0 binary64))) (*.f64 (*.f64 x (/.f64 #s(literal 4 binary64) (fma.f64 y y #s(literal 0 binary64)))) #s(literal 0 binary64)))
(fma.f64 #s(literal 1 binary64) (/.f64 x (fma.f64 y #s(literal 1/4 binary64) #s(literal 0 binary64))) (*.f64 #s(literal 0 binary64) (/.f64 (fma.f64 #s(literal 4 binary64) x #s(literal 0 binary64)) (fma.f64 y (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64)))))
(fma.f64 #s(literal 1 binary64) (/.f64 x (fma.f64 y #s(literal 1/4 binary64) #s(literal 0 binary64))) (*.f64 #s(literal 0 binary64) (*.f64 x (/.f64 #s(literal 4 binary64) (fma.f64 y y #s(literal 0 binary64))))))
(fma.f64 (/.f64 #s(literal 1 binary64) y) (fma.f64 #s(literal 4 binary64) x #s(literal 0 binary64)) (*.f64 (/.f64 (fma.f64 #s(literal 4 binary64) x #s(literal 0 binary64)) (fma.f64 y (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64))) #s(literal 0 binary64)))
(fma.f64 (/.f64 #s(literal 1 binary64) y) (fma.f64 #s(literal 4 binary64) x #s(literal 0 binary64)) (*.f64 (*.f64 x (/.f64 #s(literal 4 binary64) (fma.f64 y y #s(literal 0 binary64)))) #s(literal 0 binary64)))
(fma.f64 (/.f64 #s(literal 1 binary64) y) (fma.f64 #s(literal 4 binary64) x #s(literal 0 binary64)) (*.f64 #s(literal 0 binary64) (/.f64 (fma.f64 #s(literal 4 binary64) x #s(literal 0 binary64)) (fma.f64 y (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64)))))
(fma.f64 (/.f64 #s(literal 1 binary64) y) (fma.f64 #s(literal 4 binary64) x #s(literal 0 binary64)) (*.f64 #s(literal 0 binary64) (*.f64 x (/.f64 #s(literal 4 binary64) (fma.f64 y y #s(literal 0 binary64))))))
(fma.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 0 binary64) (/.f64 x (fma.f64 y #s(literal 1/4 binary64) #s(literal 0 binary64))))
(fma.f64 (/.f64 #s(literal 1 binary64) y) (fma.f64 x #s(literal -4 binary64) #s(literal 0 binary64)) (*.f64 (/.f64 (fma.f64 #s(literal 4 binary64) x #s(literal 0 binary64)) (fma.f64 y (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64))) #s(literal 0 binary64)))
(fma.f64 (/.f64 #s(literal 1 binary64) y) (fma.f64 x #s(literal -4 binary64) #s(literal 0 binary64)) (*.f64 (*.f64 x (/.f64 #s(literal 4 binary64) (fma.f64 y y #s(literal 0 binary64)))) #s(literal 0 binary64)))
(fma.f64 (/.f64 #s(literal 1 binary64) y) (fma.f64 x #s(literal -4 binary64) #s(literal 0 binary64)) (*.f64 #s(literal 0 binary64) (/.f64 (fma.f64 #s(literal 4 binary64) x #s(literal 0 binary64)) (fma.f64 y (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64)))))
(fma.f64 (/.f64 #s(literal 1 binary64) y) (fma.f64 x #s(literal -4 binary64) #s(literal 0 binary64)) (*.f64 #s(literal 0 binary64) (*.f64 x (/.f64 #s(literal 4 binary64) (fma.f64 y y #s(literal 0 binary64))))))
(fma.f64 (/.f64 #s(literal 1 binary64) y) (pow.f64 (/.f64 #s(literal -1/4 binary64) x) #s(literal -1 binary64)) (*.f64 (/.f64 (fma.f64 #s(literal 4 binary64) x #s(literal 0 binary64)) (fma.f64 y (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64))) #s(literal 0 binary64)))
(fma.f64 (/.f64 #s(literal 1 binary64) y) (pow.f64 (/.f64 #s(literal -1/4 binary64) x) #s(literal -1 binary64)) (*.f64 (*.f64 x (/.f64 #s(literal 4 binary64) (fma.f64 y y #s(literal 0 binary64)))) #s(literal 0 binary64)))
(fma.f64 (/.f64 #s(literal 1 binary64) y) (pow.f64 (/.f64 #s(literal -1/4 binary64) x) #s(literal -1 binary64)) (*.f64 #s(literal 0 binary64) (/.f64 (fma.f64 #s(literal 4 binary64) x #s(literal 0 binary64)) (fma.f64 y (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64)))))
(fma.f64 (/.f64 #s(literal 1 binary64) y) (pow.f64 (/.f64 #s(literal -1/4 binary64) x) #s(literal -1 binary64)) (*.f64 #s(literal 0 binary64) (*.f64 x (/.f64 #s(literal 4 binary64) (fma.f64 y y #s(literal 0 binary64))))))
(fma.f64 (fma.f64 #s(literal 4 binary64) x #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) y) (*.f64 (/.f64 (fma.f64 #s(literal 4 binary64) x #s(literal 0 binary64)) (fma.f64 y (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64))) #s(literal 0 binary64)))
(fma.f64 (fma.f64 #s(literal 4 binary64) x #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) y) (*.f64 (*.f64 x (/.f64 #s(literal 4 binary64) (fma.f64 y y #s(literal 0 binary64)))) #s(literal 0 binary64)))
(fma.f64 (fma.f64 #s(literal 4 binary64) x #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) y) (*.f64 #s(literal 0 binary64) (/.f64 (fma.f64 #s(literal 4 binary64) x #s(literal 0 binary64)) (fma.f64 y (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64)))))
(fma.f64 (fma.f64 #s(literal 4 binary64) x #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) y) (*.f64 #s(literal 0 binary64) (*.f64 x (/.f64 #s(literal 4 binary64) (fma.f64 y y #s(literal 0 binary64))))))
(fma.f64 #s(literal -1 binary64) (/.f64 x (fma.f64 y #s(literal 1/4 binary64) #s(literal 0 binary64))) (*.f64 (/.f64 (fma.f64 #s(literal 4 binary64) x #s(literal 0 binary64)) (fma.f64 y (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64))) #s(literal 0 binary64)))
(fma.f64 #s(literal -1 binary64) (/.f64 x (fma.f64 y #s(literal 1/4 binary64) #s(literal 0 binary64))) (*.f64 (*.f64 x (/.f64 #s(literal 4 binary64) (fma.f64 y y #s(literal 0 binary64)))) #s(literal 0 binary64)))
(fma.f64 #s(literal -1 binary64) (/.f64 x (fma.f64 y #s(literal 1/4 binary64) #s(literal 0 binary64))) (*.f64 #s(literal 0 binary64) (/.f64 (fma.f64 #s(literal 4 binary64) x #s(literal 0 binary64)) (fma.f64 y (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64)))))
(fma.f64 #s(literal -1 binary64) (/.f64 x (fma.f64 y #s(literal 1/4 binary64) #s(literal 0 binary64))) (*.f64 #s(literal 0 binary64) (*.f64 x (/.f64 #s(literal 4 binary64) (fma.f64 y y #s(literal 0 binary64))))))
(fma.f64 #s(literal 0 binary64) x (/.f64 x (fma.f64 y #s(literal 1/4 binary64) #s(literal 0 binary64))))
(fma.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) x) (/.f64 x (fma.f64 y #s(literal 1/4 binary64) #s(literal 0 binary64))))
(fma.f64 #s(literal 0 binary64) (/.f64 (fma.f64 #s(literal 4 binary64) x #s(literal 0 binary64)) (fma.f64 y (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64))) (/.f64 x (fma.f64 y #s(literal 1/4 binary64) #s(literal 0 binary64))))
(fma.f64 #s(literal 0 binary64) (*.f64 x (/.f64 #s(literal 4 binary64) (fma.f64 y y #s(literal 0 binary64)))) (/.f64 x (fma.f64 y #s(literal 1/4 binary64) #s(literal 0 binary64))))
(fma.f64 (fma.f64 x #s(literal -4 binary64) #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) y) (*.f64 (/.f64 (fma.f64 #s(literal 4 binary64) x #s(literal 0 binary64)) (fma.f64 y (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64))) #s(literal 0 binary64)))
(fma.f64 (fma.f64 x #s(literal -4 binary64) #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) y) (*.f64 (*.f64 x (/.f64 #s(literal 4 binary64) (fma.f64 y y #s(literal 0 binary64)))) #s(literal 0 binary64)))
(fma.f64 (fma.f64 x #s(literal -4 binary64) #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) y) (*.f64 #s(literal 0 binary64) (/.f64 (fma.f64 #s(literal 4 binary64) x #s(literal 0 binary64)) (fma.f64 y (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64)))))
(fma.f64 (fma.f64 x #s(literal -4 binary64) #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) y) (*.f64 #s(literal 0 binary64) (*.f64 x (/.f64 #s(literal 4 binary64) (fma.f64 y y #s(literal 0 binary64))))))
(fma.f64 (/.f64 #s(literal 4 binary64) y) x (*.f64 (/.f64 (fma.f64 #s(literal 4 binary64) x #s(literal 0 binary64)) (fma.f64 y (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64))) #s(literal 0 binary64)))
(fma.f64 (/.f64 #s(literal 4 binary64) y) x (*.f64 (*.f64 x (/.f64 #s(literal 4 binary64) (fma.f64 y y #s(literal 0 binary64)))) #s(literal 0 binary64)))
(fma.f64 (/.f64 #s(literal 4 binary64) y) x (*.f64 #s(literal 0 binary64) (/.f64 (fma.f64 #s(literal 4 binary64) x #s(literal 0 binary64)) (fma.f64 y (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64)))))
(fma.f64 (/.f64 #s(literal 4 binary64) y) x (*.f64 #s(literal 0 binary64) (*.f64 x (/.f64 #s(literal 4 binary64) (fma.f64 y y #s(literal 0 binary64))))))
(fma.f64 (/.f64 #s(literal 4 binary64) y) (-.f64 #s(literal 0 binary64) x) (*.f64 (/.f64 (fma.f64 #s(literal 4 binary64) x #s(literal 0 binary64)) (fma.f64 y (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64))) #s(literal 0 binary64)))
(fma.f64 (/.f64 #s(literal 4 binary64) y) (-.f64 #s(literal 0 binary64) x) (*.f64 (*.f64 x (/.f64 #s(literal 4 binary64) (fma.f64 y y #s(literal 0 binary64)))) #s(literal 0 binary64)))
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(*.f64 #s(literal 4 binary64) (/.f64 #s(literal 1 binary64) y))
(*.f64 y (/.f64 #s(literal 4 binary64) (fma.f64 y y #s(literal 0 binary64))))
(*.f64 #s(literal -4 binary64) (/.f64 #s(literal 1 binary64) y))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) y))
(*.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 4 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -4 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) y) (pow.f64 (pow.f64 #s(literal 1/4 binary64) #s(literal -1/2 binary64)) #s(literal 2 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) y) (pow.f64 (pow.f64 #s(literal -1/4 binary64) #s(literal -1/2 binary64)) #s(literal 2 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 (pow.f64 #s(literal 1/4 binary64) #s(literal -1/2 binary64)) (pow.f64 #s(literal 1/4 binary64) #s(literal -1/2 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 (pow.f64 #s(literal -1/4 binary64) #s(literal -1/2 binary64)) (pow.f64 #s(literal -1/4 binary64) #s(literal -1/2 binary64))))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 4 binary64) y))
(*.f64 (/.f64 #s(literal 4 binary64) y) #s(literal 1 binary64))
(*.f64 (/.f64 #s(literal 4 binary64) y) #s(literal -1 binary64))
(*.f64 (fma.f64 y y #s(literal 0 binary64)) (/.f64 #s(literal 4 binary64) (fma.f64 y (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64))))
(*.f64 (pow.f64 y #s(literal -1/2 binary64)) (*.f64 #s(literal -4 binary64) (pow.f64 y #s(literal -1/2 binary64))))
(*.f64 (pow.f64 y #s(literal -1/2 binary64)) (*.f64 #s(literal 4 binary64) (pow.f64 y #s(literal -1/2 binary64))))
(*.f64 (pow.f64 y #s(literal -1/2 binary64)) (neg.f64 (*.f64 #s(literal 4 binary64) (pow.f64 y #s(literal -1/2 binary64)))))
(*.f64 (pow.f64 y #s(literal -1/2 binary64)) (/.f64 (*.f64 #s(literal 4 binary64) (pow.f64 y #s(literal -1/2 binary64))) #s(literal 1 binary64)))
(*.f64 (pow.f64 y #s(literal -1/2 binary64)) (/.f64 (pow.f64 y #s(literal -1/2 binary64)) #s(literal -1/4 binary64)))
(*.f64 (pow.f64 y #s(literal -1/2 binary64)) (/.f64 (*.f64 #s(literal 4 binary64) (pow.f64 y #s(literal -1/2 binary64))) #s(literal -1 binary64)))
(*.f64 (pow.f64 y #s(literal -1/2 binary64)) (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 y #s(literal -1/2 binary64))) #s(literal 1/4 binary64)))
(*.f64 (sqrt.f64 (/.f64 #s(literal 4 binary64) y)) (sqrt.f64 (/.f64 #s(literal 4 binary64) y)))
(*.f64 (sqrt.f64 (/.f64 #s(literal 4 binary64) y)) (-.f64 #s(literal 0 binary64) (sqrt.f64 (/.f64 #s(literal 4 binary64) y))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 4 binary64) y)) (/.f64 (sqrt.f64 (/.f64 #s(literal 4 binary64) y)) #s(literal -1 binary64)))
(*.f64 (sqrt.f64 (/.f64 #s(literal 4 binary64) y)) (neg.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 (/.f64 #s(literal 4 binary64) y)))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 4 binary64) y)) (/.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 (/.f64 #s(literal 4 binary64) y))) #s(literal 1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64))) (/.f64 (fma.f64 y y #s(literal 0 binary64)) #s(literal 1/4 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64))) (/.f64 (fma.f64 y y #s(literal 0 binary64)) #s(literal -1/4 binary64)))
(*.f64 (/.f64 #s(literal 64 binary64) (fma.f64 y (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y y #s(literal 0 binary64))) #s(literal 16 binary64) #s(literal 0 binary64))))
(*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y y #s(literal 0 binary64))) #s(literal 16 binary64) #s(literal 0 binary64)) (fma.f64 y #s(literal 1/4 binary64) #s(literal 0 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y y #s(literal 0 binary64))) (/.f64 y #s(literal 1/4 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y y #s(literal 0 binary64))) (/.f64 y #s(literal -1/4 binary64)))
(*.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 (/.f64 #s(literal 4 binary64) y))) (sqrt.f64 (/.f64 #s(literal 4 binary64) y)))
(*.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 (/.f64 #s(literal 4 binary64) y))) (-.f64 #s(literal 0 binary64) (sqrt.f64 (/.f64 #s(literal 4 binary64) y))))
(*.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 (/.f64 #s(literal 4 binary64) y))) (/.f64 (sqrt.f64 (/.f64 #s(literal 4 binary64) y)) #s(literal -1 binary64)))
(*.f64 (-.f64 #s(literal 0 binary64) (pow.f64 y #s(literal -1/2 binary64))) (*.f64 #s(literal 4 binary64) (pow.f64 y #s(literal -1/2 binary64))))
(*.f64 (-.f64 #s(literal 0 binary64) (pow.f64 y #s(literal -1/2 binary64))) (/.f64 (pow.f64 y #s(literal -1/2 binary64)) #s(literal -1/4 binary64)))
(*.f64 (*.f64 #s(literal -4 binary64) (pow.f64 y #s(literal -1/2 binary64))) (pow.f64 y #s(literal -1/2 binary64)))
(*.f64 (*.f64 #s(literal -4 binary64) (pow.f64 y #s(literal -1/2 binary64))) (-.f64 #s(literal 0 binary64) (pow.f64 y #s(literal -1/2 binary64))))
(*.f64 (*.f64 #s(literal -4 binary64) (pow.f64 y #s(literal -1/2 binary64))) (/.f64 (pow.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(*.f64 (*.f64 #s(literal -4 binary64) (pow.f64 y #s(literal -1/2 binary64))) (/.f64 (pow.f64 y #s(literal -1/2 binary64)) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 4 binary64) (fma.f64 y (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64))) (fma.f64 y y #s(literal 0 binary64)))
(*.f64 (/.f64 #s(literal 4 binary64) (fma.f64 y y #s(literal 0 binary64))) y)
(*.f64 (*.f64 #s(literal 4 binary64) (pow.f64 y #s(literal -1/2 binary64))) (pow.f64 y #s(literal -1/2 binary64)))
(*.f64 (*.f64 #s(literal 4 binary64) (pow.f64 y #s(literal -1/2 binary64))) (-.f64 #s(literal 0 binary64) (pow.f64 y #s(literal -1/2 binary64))))
(*.f64 (*.f64 #s(literal 4 binary64) (pow.f64 y #s(literal -1/2 binary64))) (/.f64 (pow.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(*.f64 (*.f64 #s(literal 4 binary64) (pow.f64 y #s(literal -1/2 binary64))) (/.f64 (pow.f64 y #s(literal -1/2 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (pow.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64)) (pow.f64 (*.f64 #s(literal 4 binary64) (pow.f64 y #s(literal -1/2 binary64))) #s(literal 1 binary64)))
(*.f64 (pow.f64 (*.f64 #s(literal 4 binary64) (pow.f64 y #s(literal -1/2 binary64))) #s(literal 1 binary64)) (pow.f64 (pow.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal 4 binary64) (fma.f64 y (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64))) #s(literal 1 binary64)) (fma.f64 y y #s(literal 0 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal 4 binary64) (fma.f64 y y #s(literal 0 binary64))) #s(literal 1 binary64)) y)
(*.f64 (pow.f64 (sqrt.f64 (fma.f64 y #s(literal 1/4 binary64) #s(literal 0 binary64))) #s(literal -1 binary64)) (pow.f64 (sqrt.f64 (fma.f64 y #s(literal 1/4 binary64) #s(literal 0 binary64))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (pow.f64 #s(literal 1/4 binary64) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) y))
(*.f64 (pow.f64 (pow.f64 #s(literal -1 binary64) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (/.f64 #s(literal 4 binary64) y))
(*.f64 (pow.f64 (pow.f64 #s(literal -1/4 binary64) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) y))
(*.f64 (*.f64 (pow.f64 #s(literal 1/4 binary64) #s(literal -1/2 binary64)) (pow.f64 #s(literal 1/4 binary64) #s(literal -1/2 binary64))) (/.f64 #s(literal 1 binary64) y))
(*.f64 (*.f64 (pow.f64 #s(literal -1 binary64) #s(literal -1/2 binary64)) (pow.f64 #s(literal -1 binary64) #s(literal -1/2 binary64))) (/.f64 #s(literal 4 binary64) y))
(*.f64 (*.f64 (pow.f64 #s(literal -1/4 binary64) #s(literal -1/2 binary64)) (pow.f64 #s(literal -1/4 binary64) #s(literal -1/2 binary64))) (/.f64 #s(literal 1 binary64) y))
(*.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 (/.f64 #s(literal 4 binary64) y)))) (sqrt.f64 (/.f64 #s(literal 4 binary64) y)))
(*.f64 (neg.f64 (*.f64 #s(literal -4 binary64) (pow.f64 y #s(literal -1/2 binary64)))) (pow.f64 y #s(literal -1/2 binary64)))
(*.f64 (neg.f64 (*.f64 #s(literal 4 binary64) (pow.f64 y #s(literal -1/2 binary64)))) (pow.f64 y #s(literal -1/2 binary64)))

simplify10.0ms (0.1%)

Memory
31.9MiB live, 31.9MiB allocated
Algorithm
1×egg-herbie
Rules
12×*-lowering-*.f32
12×*-lowering-*.f64
6×*-commutative
6×/-lowering-/.f32
6×/-lowering-/.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
06156
19156
211156
312156
413156
013156
Stop Event
1×iter limit
1×saturated
Counts
36 → 36
Calls
Call 1
Inputs
(* 4 (/ x y))
(* 4 (/ x y))
(* 4 (/ x y))
(* 4 (/ x y))
(* 4 (/ x y))
(* 4 (/ x y))
(* 4 (/ x y))
(* 4 (/ x y))
(* 4 (/ x y))
(* 4 (/ x y))
(* 4 (/ x y))
(* 4 (/ x y))
(* 4 (/ x y))
(* 4 (/ x y))
(* 4 (/ x y))
(* 4 (/ x y))
(* 4 (/ x y))
(* 4 (/ x y))
(* 4 (/ x y))
(* 4 (/ x y))
(* 4 (/ x y))
(* 4 (/ x y))
(* 4 (/ x y))
(* 4 (/ x y))
(/ 4 y)
(/ 4 y)
(/ 4 y)
(/ 4 y)
(/ 4 y)
(/ 4 y)
(/ 4 y)
(/ 4 y)
(/ 4 y)
(/ 4 y)
(/ 4 y)
(/ 4 y)
Outputs
(* 4 (/ x y))
(/.f64 (*.f64 #s(literal 4 binary64) x) y)
(* 4 (/ x y))
(/.f64 (*.f64 #s(literal 4 binary64) x) y)
(* 4 (/ x y))
(/.f64 (*.f64 #s(literal 4 binary64) x) y)
(* 4 (/ x y))
(/.f64 (*.f64 #s(literal 4 binary64) x) y)
(* 4 (/ x y))
(/.f64 (*.f64 #s(literal 4 binary64) x) y)
(* 4 (/ x y))
(/.f64 (*.f64 #s(literal 4 binary64) x) y)
(* 4 (/ x y))
(/.f64 (*.f64 #s(literal 4 binary64) x) y)
(* 4 (/ x y))
(/.f64 (*.f64 #s(literal 4 binary64) x) y)
(* 4 (/ x y))
(/.f64 (*.f64 #s(literal 4 binary64) x) y)
(* 4 (/ x y))
(/.f64 (*.f64 #s(literal 4 binary64) x) y)
(* 4 (/ x y))
(/.f64 (*.f64 #s(literal 4 binary64) x) y)
(* 4 (/ x y))
(/.f64 (*.f64 #s(literal 4 binary64) x) y)
(* 4 (/ x y))
(/.f64 (*.f64 #s(literal 4 binary64) x) y)
(* 4 (/ x y))
(/.f64 (*.f64 #s(literal 4 binary64) x) y)
(* 4 (/ x y))
(/.f64 (*.f64 #s(literal 4 binary64) x) y)
(* 4 (/ x y))
(/.f64 (*.f64 #s(literal 4 binary64) x) y)
(* 4 (/ x y))
(/.f64 (*.f64 #s(literal 4 binary64) x) y)
(* 4 (/ x y))
(/.f64 (*.f64 #s(literal 4 binary64) x) y)
(* 4 (/ x y))
(/.f64 (*.f64 #s(literal 4 binary64) x) y)
(* 4 (/ x y))
(/.f64 (*.f64 #s(literal 4 binary64) x) y)
(* 4 (/ x y))
(/.f64 (*.f64 #s(literal 4 binary64) x) y)
(* 4 (/ x y))
(/.f64 (*.f64 #s(literal 4 binary64) x) y)
(* 4 (/ x y))
(/.f64 (*.f64 #s(literal 4 binary64) x) y)
(* 4 (/ x y))
(/.f64 (*.f64 #s(literal 4 binary64) x) y)
(/ 4 y)
(/.f64 #s(literal 4 binary64) y)
(/ 4 y)
(/.f64 #s(literal 4 binary64) y)
(/ 4 y)
(/.f64 #s(literal 4 binary64) y)
(/ 4 y)
(/.f64 #s(literal 4 binary64) y)
(/ 4 y)
(/.f64 #s(literal 4 binary64) y)
(/ 4 y)
(/.f64 #s(literal 4 binary64) y)
(/ 4 y)
(/.f64 #s(literal 4 binary64) y)
(/ 4 y)
(/.f64 #s(literal 4 binary64) y)
(/ 4 y)
(/.f64 #s(literal 4 binary64) y)
(/ 4 y)
(/.f64 #s(literal 4 binary64) y)
(/ 4 y)
(/.f64 #s(literal 4 binary64) y)
(/ 4 y)
(/.f64 #s(literal 4 binary64) y)

eval102.0ms (1.5%)

Memory
-12.9MiB live, 256.0MiB allocated
Compiler

Compiled 16 466 to 1 448 computations (91.2% saved)

prune169.0ms (2.5%)

Memory
5.3MiB live, 223.1MiB allocated
Pruning

8 alts after pruning (2 fresh and 6 done)

PrunedKeptTotal
New8772879
Fresh000
Picked011
Done055
Total8778885
Accuracy
100.0%
Counts
885 → 8
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓64.0%
(fma.f64 (/.f64 z y) #s(literal -4 binary64) #s(literal 4 binary64))
✓70.2%
(fma.f64 #s(literal 4 binary64) (/.f64 x y) #s(literal 4 binary64))
✓68.5%
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 x z)) y)
✓39.1%
(/.f64 (*.f64 #s(literal 4 binary64) x) y)
2.7%
(*.f64 (/.f64 x y) #s(literal -4 binary64))
✓39.0%
(*.f64 (/.f64 #s(literal 4 binary64) y) x)
2.7%
(*.f64 (/.f64 #s(literal -4 binary64) y) x)
✓33.1%
#s(literal 4 binary64)
Compiler

Compiled 126 to 76 computations (39.7% saved)

regimes33.0ms (0.5%)

Memory
-18.4MiB live, 23.2MiB allocated
Counts
10 → 1
Calls
Call 1
Inputs
#s(literal 4 binary64)
(*.f64 (/.f64 #s(literal -4 binary64) y) x)
(*.f64 (/.f64 #s(literal 4 binary64) y) x)
(*.f64 (/.f64 x y) #s(literal -4 binary64))
(/.f64 (*.f64 #s(literal 4 binary64) x) y)
(fma.f64 #s(literal 4 binary64) (/.f64 x y) #s(literal 4 binary64))
(fma.f64 (/.f64 #s(literal 4 binary64) y) x #s(literal 4 binary64))
(fma.f64 (/.f64 z y) #s(literal -4 binary64) #s(literal 4 binary64))
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 x z)) y)
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 3/4 binary64))) z)) y))
Outputs
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 3/4 binary64))) z)) y))
Calls

5 calls:

17.0ms
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 3/4 binary64))) z)) y)
4.0ms
y
4.0ms
z
4.0ms
x
3.0ms
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 3/4 binary64))) z)) y))
Results
AccuracySegmentsBranch
99.2%1x
99.2%1y
99.2%1z
99.2%1(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 3/4 binary64))) z)) y))
99.2%1(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 3/4 binary64))) z)) y)
Compiler

Compiled 42 to 31 computations (26.2% saved)

regimes23.0ms (0.3%)

Memory
-9.9MiB live, 27.1MiB allocated
Counts
9 → 3
Calls
Call 1
Inputs
#s(literal 4 binary64)
(*.f64 (/.f64 #s(literal -4 binary64) y) x)
(*.f64 (/.f64 #s(literal 4 binary64) y) x)
(*.f64 (/.f64 x y) #s(literal -4 binary64))
(/.f64 (*.f64 #s(literal 4 binary64) x) y)
(fma.f64 #s(literal 4 binary64) (/.f64 x y) #s(literal 4 binary64))
(fma.f64 (/.f64 #s(literal 4 binary64) y) x #s(literal 4 binary64))
(fma.f64 (/.f64 z y) #s(literal -4 binary64) #s(literal 4 binary64))
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 x z)) y)
Outputs
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 x z)) y)
(fma.f64 #s(literal 4 binary64) (/.f64 x y) #s(literal 4 binary64))
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 x z)) y)
Calls

5 calls:

9.0ms
y
3.0ms
x
3.0ms
z
3.0ms
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 3/4 binary64))) z)) y)
3.0ms
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 3/4 binary64))) z)) y))
Results
AccuracySegmentsBranch
90.5%3x
89.5%3y
89.1%3z
98.7%3(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 3/4 binary64))) z)) y))
98.7%3(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 3/4 binary64))) z)) y)
Compiler

Compiled 42 to 31 computations (26.2% saved)

regimes10.0ms (0.1%)

Memory
18.1MiB live, 18.1MiB allocated
Counts
8 → 3
Calls
Call 1
Inputs
#s(literal 4 binary64)
(*.f64 (/.f64 #s(literal -4 binary64) y) x)
(*.f64 (/.f64 #s(literal 4 binary64) y) x)
(*.f64 (/.f64 x y) #s(literal -4 binary64))
(/.f64 (*.f64 #s(literal 4 binary64) x) y)
(fma.f64 #s(literal 4 binary64) (/.f64 x y) #s(literal 4 binary64))
(fma.f64 (/.f64 #s(literal 4 binary64) y) x #s(literal 4 binary64))
(fma.f64 (/.f64 z y) #s(literal -4 binary64) #s(literal 4 binary64))
Outputs
(fma.f64 #s(literal 4 binary64) (/.f64 x y) #s(literal 4 binary64))
(fma.f64 (/.f64 z y) #s(literal -4 binary64) #s(literal 4 binary64))
(fma.f64 #s(literal 4 binary64) (/.f64 x y) #s(literal 4 binary64))
Calls

3 calls:

3.0ms
x
3.0ms
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 3/4 binary64))) z)) y))
3.0ms
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 3/4 binary64))) z)) y)
Results
AccuracySegmentsBranch
90.5%3x
70.2%1(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 3/4 binary64))) z)) y))
70.2%1(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 3/4 binary64))) z)) y)
Compiler

Compiled 34 to 25 computations (26.5% saved)

regimes11.0ms (0.2%)

Memory
-17.1MiB live, 20.5MiB allocated
Counts
7 → 1
Calls
Call 1
Inputs
#s(literal 4 binary64)
(*.f64 (/.f64 #s(literal -4 binary64) y) x)
(*.f64 (/.f64 #s(literal 4 binary64) y) x)
(*.f64 (/.f64 x y) #s(literal -4 binary64))
(/.f64 (*.f64 #s(literal 4 binary64) x) y)
(fma.f64 #s(literal 4 binary64) (/.f64 x y) #s(literal 4 binary64))
(fma.f64 (/.f64 #s(literal 4 binary64) y) x #s(literal 4 binary64))
Outputs
(fma.f64 #s(literal 4 binary64) (/.f64 x y) #s(literal 4 binary64))
Calls

3 calls:

5.0ms
z
3.0ms
x
3.0ms
y
Results
AccuracySegmentsBranch
70.2%1z
70.2%1y
70.2%1x
Compiler

Compiled 12 to 9 computations (25% saved)

regimes12.0ms (0.2%)

Memory
27.3MiB live, 27.3MiB allocated
Counts
5 → 3
Calls
Call 1
Inputs
#s(literal 4 binary64)
(*.f64 (/.f64 #s(literal -4 binary64) y) x)
(*.f64 (/.f64 #s(literal 4 binary64) y) x)
(*.f64 (/.f64 x y) #s(literal -4 binary64))
(/.f64 (*.f64 #s(literal 4 binary64) x) y)
Outputs
(/.f64 (*.f64 #s(literal 4 binary64) x) y)
#s(literal 4 binary64)
(/.f64 (*.f64 #s(literal 4 binary64) x) y)
Calls

5 calls:

2.0ms
y
2.0ms
x
2.0ms
z
2.0ms
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 3/4 binary64))) z)) y))
2.0ms
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 3/4 binary64))) z)) y)
Results
AccuracySegmentsBranch
68.4%3(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 3/4 binary64))) z)) y))
68.4%3(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 3/4 binary64))) z)) y)
59.6%3y
43.0%3z
58.0%3x
Compiler

Compiled 42 to 31 computations (26.2% saved)

regimes8.0ms (0.1%)

Memory
-26.0MiB live, 10.1MiB allocated
Counts
4 → 3
Calls
Call 1
Inputs
#s(literal 4 binary64)
(*.f64 (/.f64 #s(literal -4 binary64) y) x)
(*.f64 (/.f64 #s(literal 4 binary64) y) x)
(*.f64 (/.f64 x y) #s(literal -4 binary64))
Outputs
(*.f64 (/.f64 #s(literal 4 binary64) y) x)
#s(literal 4 binary64)
(*.f64 (/.f64 #s(literal 4 binary64) y) x)
Calls

2 calls:

5.0ms
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 3/4 binary64))) z)) y))
2.0ms
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 3/4 binary64))) z)) y)
Results
AccuracySegmentsBranch
68.3%3(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 3/4 binary64))) z)) y))
68.3%3(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 3/4 binary64))) z)) y)
Compiler

Compiled 30 to 22 computations (26.7% saved)

regimes8.0ms (0.1%)

Memory
19.3MiB live, 19.3MiB allocated
Accuracy

Total -20.1b remaining (-47.1%)

Threshold costs -20.1b (-47.1%)

Counts
2 → 1
Calls
Call 1
Inputs
#s(literal 4 binary64)
(*.f64 (/.f64 #s(literal -4 binary64) y) x)
Outputs
#s(literal 4 binary64)
Calls

5 calls:

2.0ms
y
2.0ms
z
2.0ms
x
1.0ms
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 3/4 binary64))) z)) y))
1.0ms
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 3/4 binary64))) z)) y)
Results
AccuracySegmentsBranch
33.1%1z
33.1%1x
33.1%1y
33.1%1(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 3/4 binary64))) z)) y))
33.1%1(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 3/4 binary64))) z)) y)
Compiler

Compiled 42 to 31 computations (26.2% saved)

bsearch0.0ms (0%)

Memory
0.8MiB live, 0.8MiB allocated
Algorithm
2×left-value
Steps
TimeLeftRight
0.0ms
7129095956.912828
13873637933.601597
0.0ms
-1385381859102.7163
-161255021.22045624
Compiler

Compiled 19 to 18 computations (5.3% saved)

bsearch30.0ms (0.4%)

Memory
-12.4MiB live, 32.1MiB allocated
Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
11.0ms
1.808523347178099e-68
5.2580695517411357e-67
16.0ms
-3.266347213751336
-0.0003498693552254073
Samples
19.0ms240×0valid
Compiler

Compiled 319 to 243 computations (23.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 13.0ms
ival-mult: 7.0ms (55.6% of total)
ival-div: 2.0ms (15.9% of total)
ival-add: 2.0ms (15.9% of total)
ival-sub: 1.0ms (7.9% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch0.0ms (0%)

Memory
0.7MiB live, 0.7MiB allocated
Algorithm
2×left-value
Steps
TimeLeftRight
0.0ms
3.1293058831588167
1110832.8963687995
0.0ms
-161255021.22045624
2.0120160494406583
Compiler

Compiled 19 to 18 computations (5.3% saved)

bsearch0.0ms (0%)

Memory
0.6MiB live, 0.6MiB allocated
Algorithm
2×left-value
Steps
TimeLeftRight
0.0ms
3.1293058831588167
1110832.8963687995
0.0ms
-161255021.22045624
2.0120160494406583
Compiler

Compiled 19 to 18 computations (5.3% saved)

simplify10.0ms (0.2%)

Memory
21.0MiB live, 21.0MiB allocated
Algorithm
1×egg-herbie
Rules
12×*-commutative_binary64
10×+-commutative_binary64
8×if-if-or-not_binary32
6×sub-neg_binary64
2×1-exp_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
044153
167153
272153
374153
475153
Stop Event
1×saturated
Calls
Call 1
Inputs
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 3/4 binary64))) z)) y))
(if (<=.f64 (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 3/4 binary64))) z)) y) #s(literal -1000000000000 binary64)) (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 x z)) y) (if (<=.f64 (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 3/4 binary64))) z)) y) #s(literal 10000000000 binary64)) (fma.f64 #s(literal 4 binary64) (/.f64 x y) #s(literal 4 binary64)) (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 x z)) y)))
(if (<=.f64 x #s(literal -2476979795053773/1125899906842624 binary64)) (fma.f64 #s(literal 4 binary64) (/.f64 x y) #s(literal 4 binary64)) (if (<=.f64 x #s(literal 493255773416689/948568795032094272909893509191171341133987714380927500611236528192824358010355712 binary64)) (fma.f64 (/.f64 z y) #s(literal -4 binary64) #s(literal 4 binary64)) (fma.f64 #s(literal 4 binary64) (/.f64 x y) #s(literal 4 binary64))))
(fma.f64 #s(literal 4 binary64) (/.f64 x y) #s(literal 4 binary64))
(if (<=.f64 (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 3/4 binary64))) z)) y) #s(literal -100000000 binary64)) (/.f64 (*.f64 #s(literal 4 binary64) x) y) (if (<=.f64 (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 3/4 binary64))) z)) y) #s(literal 5 binary64)) #s(literal 4 binary64) (/.f64 (*.f64 #s(literal 4 binary64) x) y)))
(if (<=.f64 (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 3/4 binary64))) z)) y) #s(literal -100000000 binary64)) (*.f64 (/.f64 #s(literal 4 binary64) y) x) (if (<=.f64 (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 3/4 binary64))) z)) y) #s(literal 5 binary64)) #s(literal 4 binary64) (*.f64 (/.f64 #s(literal 4 binary64) y) x)))
#s(literal 4 binary64)
Outputs
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 3/4 binary64))) z)) y))
(if (<=.f64 (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 3/4 binary64))) z)) y) #s(literal -1000000000000 binary64)) (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 x z)) y) (if (<=.f64 (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 3/4 binary64))) z)) y) #s(literal 10000000000 binary64)) (fma.f64 #s(literal 4 binary64) (/.f64 x y) #s(literal 4 binary64)) (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 x z)) y)))
(if (<=.f64 x #s(literal -2476979795053773/1125899906842624 binary64)) (fma.f64 #s(literal 4 binary64) (/.f64 x y) #s(literal 4 binary64)) (if (<=.f64 x #s(literal 493255773416689/948568795032094272909893509191171341133987714380927500611236528192824358010355712 binary64)) (fma.f64 (/.f64 z y) #s(literal -4 binary64) #s(literal 4 binary64)) (fma.f64 #s(literal 4 binary64) (/.f64 x y) #s(literal 4 binary64))))
(fma.f64 #s(literal 4 binary64) (/.f64 x y) #s(literal 4 binary64))
(if (<=.f64 (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 3/4 binary64))) z)) y) #s(literal -100000000 binary64)) (/.f64 (*.f64 #s(literal 4 binary64) x) y) (if (<=.f64 (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 3/4 binary64))) z)) y) #s(literal 5 binary64)) #s(literal 4 binary64) (/.f64 (*.f64 #s(literal 4 binary64) x) y)))
(if (<=.f64 (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 3/4 binary64))) z)) y) #s(literal -100000000 binary64)) (*.f64 (/.f64 #s(literal 4 binary64) y) x) (if (<=.f64 (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 3/4 binary64))) z)) y) #s(literal 5 binary64)) #s(literal 4 binary64) (*.f64 (/.f64 #s(literal 4 binary64) y) x)))
(if (<=.f64 (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 3/4 binary64))) z)) y) #s(literal -100000000 binary64)) (*.f64 x (/.f64 #s(literal 4 binary64) y)) (if (<=.f64 (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 3/4 binary64))) z)) y) #s(literal 5 binary64)) #s(literal 4 binary64) (*.f64 x (/.f64 #s(literal 4 binary64) y))))
#s(literal 4 binary64)

soundness752.0ms (11.3%)

Memory
-4.1MiB live, 517.3MiB allocated
Rules
10 194×accelerator-lowering-fma.f32
10 194×accelerator-lowering-fma.f64
5 542×accelerator-lowering-fma.f32
5 542×accelerator-lowering-fma.f64
4 170×accelerator-lowering-fma.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01231170
13621170
2987948
33055890
46693888
08529784
0881005
12611005
2710849
32147846
43856843
56022843
67553843
08018810
0818
14218
230118
3532218
0899617
Stop Event
1×fuel
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
Compiler

Compiled 223 to 86 computations (61.4% saved)

preprocess54.0ms (0.8%)

Memory
-0.3MiB live, 77.2MiB allocated
Compiler

Compiled 382 to 112 computations (70.7% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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